Quantum Analogues: From Phase Transitions to Black Holes and Cosmology

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Publisher : Springer
ISBN 13 : 3540708596
Total Pages : 298 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Quantum Analogues: From Phase Transitions to Black Holes and Cosmology by : William Unruh

Download or read book Quantum Analogues: From Phase Transitions to Black Holes and Cosmology written by William Unruh and published by Springer. This book was released on 2007-04-14 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently, analogies between laboratory physics (e.g. quantum optics and condensed matter) and gravitational/cosmological phenomena such as black holes have attracted an increasing interest. This book contains a series of selected lectures devoted to this new and rapidly developing field. Various analogies connecting (apparently) different areas in physics are presented in order to bridge the gap between them and to provide an alternative point of view.

Quantum Gases

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Publisher : World Scientific
ISBN 13 : 1908979704
Total Pages : 580 pages
Book Rating : 4.9/5 (89 download)

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Book Synopsis Quantum Gases by : Nick Proukakis

Download or read book Quantum Gases written by Nick Proukakis and published by World Scientific. This book was released on 2013-02-21 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 1995 observation of Bose–Einstein condensation in dilute atomic vapours spawned the field of ultracold, degenerate quantum gases. Unprecedented developments in experimental design and precision control have led to quantum gases becoming the preferred playground for designer quantum many-body systems. This self-contained volume provides a broad overview of the principal theoretical techniques applied to non-equilibrium and finite temperature quantum gases. Covering Bose–Einstein condensates, degenerate Fermi gases, and the more recently realised exciton–polariton condensates, it fills a gap by linking between different methods with origins in condensed matter physics, quantum field theory, quantum optics, atomic physics, and statistical mechanics. Thematically organised chapters on different methodologies, contributed by key researchers using a unified notation, provide the first integrated view of the relative merits of individual approaches, aided by pertinent introductory chapters and the guidance of editorial notes. Both graduate students and established researchers wishing to understand the state of the art will greatly benefit from this comprehensive and up-to-date review of non-equilibrium and finite temperature techniques in the exciting and expanding field of quantum gases and liquids. Contents:Introductory Material:Quantum Gases: The BackgroundQuantum Gases: Experimental ConsiderationsQuantum Gases: Background Key Theoretical NotionsUltracold Bosonic Gases: Theoretical Modelling:Kinetic and Many-Body ApproachesClassical-Field, Stochastic and Field-Theoretic ApproachesComparison of Common TheoriesOverview of Related Quantum-Degenerate Systems:Nearly Integrable One-Dimensional SystemsOptical Lattice GeometriesLiquid HeliumDegenerate Fermi GasesExciton/Polariton Condensation Readership: Aimed at graduate level students and for researchers. Keywords:Quantum Gas;Bose–Einstein;Condensate;Mean Field;Classical Field;Quantum Dynamics;Cold Atom;Ultracold Atom;Superfluid;Non-Equilibrium;Kinetic Theory;Field Theory;Quantum Fluid;Quantum Liquid;Degenerate Gas;Quantum Statistics;Number-Conserving;Symmetry-Breaking;Finite Temperature;Fluctuations;Stochastic;Gross–Pitaevskii;Bogoliubov;Many Body;Phase-Space Methods;Low-Dimensional;Optical Lattice;Bose;Fermi;Exciton;Polariton;ThermalizationKey Features:This book provides a unique and editorially linked, impartial unified presentation of the leading theoretical models for quantum gases far from equilibrium, and at finite temperaturesIn addition to focusing on bosonic gases, this book also makes connections to related quantum gases and fluids, such as fermionic gases, atoms in optical lattices, as well as exciton and polariton condensatesIntroductory chapters make this book an essential, accessible resource to both graduate students and early researchers as well as established scientists, with individual chapters written and edited by prominent researchers in the fieldReviews:“This book should be the first reference point for learning about various theoretical approaches to describing quantum gases. The editors and contributors have created a unique book with well-written articles, meaningful comparisons of various approximation schemes, a uniform notation and more than one thousand references. In addition, the book features introductory chapters and up-to-date review articles of experimental methods and current frontiers. The completeness and depth of the presentation are impressive.”Wolfgang Ketterle, MIT-Harvard Center for Ultracold Atoms & Nobel Laureate

Semiclassical and Stochastic Gravity

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Publisher : Cambridge University Press
ISBN 13 : 0521193575
Total Pages : 615 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Semiclassical and Stochastic Gravity by : Bei-Lok B. Hu

Download or read book Semiclassical and Stochastic Gravity written by Bei-Lok B. Hu and published by Cambridge University Press. This book was released on 2020-03-05 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of semi-classical gravity theory and stochastic gravity as theories of quantum gravity in curved space-time.

Nonequilibrium Quantum Field Theory

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Publisher : Cambridge University Press
ISBN 13 : 1009289985
Total Pages : 553 pages
Book Rating : 4.0/5 (92 download)

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Book Synopsis Nonequilibrium Quantum Field Theory by : Esteban A. Calzetta

Download or read book Nonequilibrium Quantum Field Theory written by Esteban A. Calzetta and published by Cambridge University Press. This book was released on 2023-01-31 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2008 book, reissued as OA, captures the essence of nonequilibrium quantum field theory, graduate students and researchers.

Geometry and Phase Transitions in Colloids and Polymers

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Publisher : World Scientific
ISBN 13 : 9812834974
Total Pages : 214 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Geometry and Phase Transitions in Colloids and Polymers by : William Kung

Download or read book Geometry and Phase Transitions in Colloids and Polymers written by William Kung and published by World Scientific. This book was released on 2009 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph represents an extension of the author''s original PhD thesis and includes a more thorough discussion on the concepts and mathematics behind his research works on the foam model, as applied to studying issues of phase stability and elasticity for various non-closed packed structures found in fuzzy and colloidal crystals, as well as on a renormalization-group analysis regarding the critical behavior of loop polymers upon which topological constraints are imposed. The common thread behind these two research works is their demonstration of the importance and effectiveness of utilizing geometrical and topological concepts for modeling and understanding soft systems undergoing phase transitions.

Analogue Gravity Phenomenology

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Publisher : Springer
ISBN 13 : 331900266X
Total Pages : 439 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Analogue Gravity Phenomenology by : Daniele Faccio

Download or read book Analogue Gravity Phenomenology written by Daniele Faccio and published by Springer. This book was released on 2013-08-13 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analogue Gravity Phenomenology is a collection of contributions that cover a vast range of areas in physics, ranging from surface wave propagation in fluids to nonlinear optics. The underlying common aspect of all these topics, and hence the main focus and perspective from which they are explained here, is the attempt to develop analogue models for gravitational systems. The original and main motivation of the field is the verification and study of Hawking radiation from a horizon: the enabling feature is the possibility to generate horizons in the laboratory with a wide range of physical systems that involve a flow of one kind or another. The years around 2010 and onwards witnessed a sudden surge of experimental activity in this expanding field of research. However, building an expertise in analogue gravity requires the researcher to be equipped with a rather broad range of knowledge and interests. The aim of this book is to bring the reader up to date with the latest developments and provide the basic background required in order to appreciate the goals, difficulties, and success stories in the field of analogue gravity. Each chapter of the book treats a different topic explained in detail by the major experts for each specific discipline. The first chapters give an overview of black hole spacetimes and Hawking radiation before moving on to describe the large variety of analogue spacetimes that have been proposed and are currently under investigation. This introductory part is then followed by an in-depth description of what are currently the three most promising analogue spacetime settings, namely surface waves in flowing fluids, acoustic oscillations in Bose-Einstein condensates and electromagnetic waves in nonlinear optics. Both theory and experimental endeavours are explained in detail. The final chapters refer to other aspects of analogue gravity beyond the study of Hawking radiation, such as Lorentz invariance violations and Brownian motion in curved spacetimes, before concluding with a return to the origins of the field and a description of the available observational evidence for horizons in astrophysical black holes.

Quantum Black Holes

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Publisher : Springer Science & Business Media
ISBN 13 : 3642389392
Total Pages : 104 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Quantum Black Holes by : Xavier Calmet

Download or read book Quantum Black Holes written by Xavier Calmet and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by foremost experts, this short book gives a clear description of the physics of quantum black holes. The reader will learn about quantum black holes in four and higher dimensions, primordial black holes, the production of black holes in high energy particle collisions, Hawking radiation, black holes in models of low scale quantum gravity and quantum gravitational aspects of black holes.

State Of The Quantum Vacuum, The: Casimir Physics In The 2020's

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Publisher : World Scientific
ISBN 13 : 9811266093
Total Pages : 393 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis State Of The Quantum Vacuum, The: Casimir Physics In The 2020's by : Kimball A Milton

Download or read book State Of The Quantum Vacuum, The: Casimir Physics In The 2020's written by Kimball A Milton and published by World Scientific. This book was released on 2022-11-22 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This review volume is intended to survey the field of quantum fluctuational phenomena induced by material bodies, which is commonly encompassed under the name of Casimir physics. H B G Casimir first discovered that zero-point fluctuations in the electromagnetic field caused an attractive force between closely separated metallic plates. Now — 75 years later — the field is burgeoning, with numerous experimental verifications and applications to practical devices starting to emerge.In this book, new ideas about Casimir physics are brought to bear on such diverse subjects as cosmology, where the Casimir energy may explain the dark energy that causes the cosmic repulsion, and nonstatic regimes, such as Casimir or quantum friction. Unsolved problems, including divergences in Casimir self-energies, the meaning of local energy densities in inhomogeneous backgrounds, and discrepancies between theory and experiment, are treated in some detail. It is hoped that this collection of papers will serve as an introduction to the field for newcomers to the subject, and that it will inspire a new burst of research into the nature of the quantum vacuum.

Fourteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg14 Meeting On General Relativity (In 4 Parts)

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Publisher : World Scientific
ISBN 13 : 9813226617
Total Pages : 4784 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Fourteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg14 Meeting On General Relativity (In 4 Parts) by : Massimo Bianchi

Download or read book Fourteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg14 Meeting On General Relativity (In 4 Parts) written by Massimo Bianchi and published by World Scientific. This book was released on 2017-10-13 with total page 4784 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four volumes of the proceedings of MG14 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting included 35 morning plenary talks over 6 days, 6 evening popular talks and 100 parallel sessions on 84 topics over 4 afternoons.Volume A contains plenary and review talks ranging from the mathematical foundations of classical and quantum gravitational theories including recent developments in string theory, to precision tests of general relativity including progress towards the detection of gravitational waves, and from supernova cosmology to relativistic astrophysics, including topics such as gamma ray bursts, black hole physics both in our galaxy and in active galactic nuclei in other galaxies, and neutron star, pulsar and white dwarf astrophysics.The remaining volumes include parallel sessions which touch on dark matter, neutrinos, X-ray sources, astrophysical black holes, neutron stars, white dwarfs, binary systems, radiative transfer, accretion disks, quasars, gamma ray bursts, supernovas, alternative gravitational theories, perturbations of collapsed objects, analog models, black hole thermodynamics, numerical relativity, gravitational lensing, large scale structure, observational cosmology, early universe models and cosmic microwave background anisotropies, inhomogeneous cosmology, inflation, global structure, singularities, chaos, Einstein-Maxwell systems, wormholes, exact solutions of Einstein's equations, gravitational waves, gravitational wave detectors and data analysis, precision gravitational measurements, quantum gravity and loop quantum gravity, quantum cosmology, strings and branes, self-gravitating systems, gamma ray astronomy, cosmic rays and the history of general relativity.

The Universe in a Helium Droplet

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Publisher : Oxford University Press on Demand
ISBN 13 : 0198507828
Total Pages : 534 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis The Universe in a Helium Droplet by : G. E. Volovik

Download or read book The Universe in a Helium Droplet written by G. E. Volovik and published by Oxford University Press on Demand. This book was released on 2003-03-06 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents a general overview of analogies between phenomena in condensed matter physics and quantum field theory and elementary particle physics.

Quantum Field Theory and Its Macroscopic Manifestations

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Publisher : World Scientific
ISBN 13 : 1908978686
Total Pages : 544 pages
Book Rating : 4.9/5 (89 download)

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Book Synopsis Quantum Field Theory and Its Macroscopic Manifestations by : Massimo Blasone

Download or read book Quantum Field Theory and Its Macroscopic Manifestations written by Massimo Blasone and published by World Scientific. This book was released on 2011-02-21 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum dynamics underlies macroscopic systems exhibiting some kind of ordering, such as superconductors, ferromagnets and crystals. Even large scale structures in the Universe and ordering in biological systems appear to be the manifestation of microscopic dynamics ruling their elementary components. The scope of this book is to answer questions such as: how it happens that the mesoscopic/macroscopic scale and stability characterizing those systems are dynamically generated out of the microscopic scale of fluctuating quantum components; how quantum particles coexist and interact with classically behaving macroscopic objects, e.g. vortices, magnetic domains and other topological defects. The quantum origin of topological defects and their interaction with quanta is a crucial issue for the understanding of symmetry breaking phase transitions and structure formation in a wide range of systems from condensed matter to cosmology. Deliberately not discussing other important problems, primarily renormalization problems, this book provides answers to such questions in a unitary, self-consistent physical and mathematical framework, which makes it unique in the panorama of existing texts on a similar subject. Crystals, ferromagnets and superconductors appear to be macroscopic quantum systems, i.e. their macroscopic properties cannot be explained without recourse to the underlying quantum dynamics. Recognizing that quantum field dynamics is not confined to the microscopic world is one of the achievements of this book, also marking its difference from other texts. The combined use of algebraic methods, and operator and functional formalism constitutes another distinctive, valuable feature. Contents:The Structure of the Space of the Physical StatesInequivalent Representations of the Canonical Commutation RelationsSpontaneous Breakdown of Symmetry and the Goldstone TheoremDynamical Rearrangement of Symmetry and Macroscopic Manifestations of QFTThermal Field Theory and Trajectories in the Space of the RepresentationsSelected Topics in Thermal Field TheoryTopological Defects as Non-Homogeneous Condensates. ITopological Defects as Non-Homogeneous Condensates. IIDissipation and QuantizationElements of Soliton Theory and Related Concepts Readership: Researchers in mathematical physics, theoretical physics, high energy physics, condensed matter physics and solid state physics. Advanced undergraduate and graduate students in physics. Keywords:Quantum Field Theory;Symmetry Breaking;Boson Condensation;Ordered Patterns;Coherent States;Phase Transitions;Topological Defects;Solitons;Vortices;Monopoles;Gauge Theories;Group Contraction;q-Groups;Hopf Algebra;Quantum DissipationKey Features:One of the achievements of this book, which marks its difference from other similar texts, is that quantum field dynamics is recognized to be not confined to the microscopic world. The combined use of algebraic methods, operator and functional formalism constitutes another distinctive valuable feature of this bookA wide range of physical systems are discussed in a unitary, self-consistent physical and mathematical frameworkThe systems considered range from condensed matter to cosmology, from fractals, neutrino oscillations to brain modelingReviews:“Physicists believe quantum fields to be the true protagonists of Nature in the full variety of its wonderful, manifold manifestations: from the fascinating appearance of colorful disclinations in nematic liquid crystals, to the awing pattern of cosmic strings in the Universe; from the unexpected quantum features of macroscopic superfluids, to the surprising dynamics of solitons, to the mysterious process of generation of virtual particles when symmetry after symmetry is broken. Quantum field theory is the tool they created to fulfill their visionary dream of describing with a universal, unique language all of nature, be it single particles or condensed matter, fields or many-body objects, in a way that can be made consistent with the other hard and deep constraint they have to call to account: relativistic covariance. This is perhaps the first book on quantum field theory whose aim is to grasp and describe with rigor and completeness, but at the same time in a compelling, fascinating way, all the facets of the complex challenge it faces scientists with. It is a book that presents solutions but poses questions as well; hard, demanding yet fascinating; a book that can at the same time be used as a textbook and as a book of dreams that any scientist would like to make come true.”Mario Rasetti Politecnico di Torino, Italy “This remarkable book dispels the common misconception that quantum field theory is 'just quantum mechanics with an infinite number of degrees of freedom', revealing vast new mathematical terrains, and new ways of understanding physical phenomena in both commonplace and exotic systems. Uniquely valuable, and covering material difficult or impossible to find coherently assembled elsewhere, it will be welcomed by students and researchers in all fields of physics and mathematics.”John Swain Northeastern University, USA “The book by Massimo Blasone, Petr Jizba and Giuseppe Vitiello gives an overall presentation of the most important aspects of quantum field theory, leading to its macroscopic manifestations, as in the formation of ordered structures. The list of topics, all covered in full detail and easy-to-follow steps, is really impressive. It includes the general structure of quantum mechanics and quantum field theory, the role of the inequivalent representations of the commutation relations, the spontaneous breakdown of symmetry with the consequent phenomenon of dynamical rearrangement of symmetry, quantum field theory at nonzero temperature, boson condensation and topological defects, dissipative quantum systems. The main features of the presentation rely on very simple and powerful unifying principles, given by the intermixing of symmetry and dynamics, under the general texture of quantum coherence. Most of the chapters share the typical flavor of the very intense personal research carried by the authors during the years, but the style of presentation is always perfectly coherent, and all topics are presented in a mature and well-organized way. I think that the book will be most useful for graduate students who are willing to be engaged in the fascinating task of exploring the full potentiality of quantum field theory in explaining the emergence of ordering at the macroscopic level, from the large-scale structure of the universe, to the ordering of biological systems. Of course, active researchers in all formation stages, but even mature scientists, will appreciate the intellectual depth and the scientific efficacy that the authors have transfused in their work.”Francesco Guerra Sapienza University of Rome, Italy “This book gives a very thorough treatment of a range of topics that are of increasing importance, from a rather unusual, and very instructive, point of view.”Tom W Kibble Imperial College London, UK “This book succeeds in helping the reader to understand how the macroscopic properties are generated out of quantum dynamics in the QFT framework. The level is adequate for graduate students with a basic knowledge of QFT.”Mathematical Reviews

Modelwork

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Publisher : U of Minnesota Press
ISBN 13 : 1452965420
Total Pages : 372 pages
Book Rating : 4.4/5 (529 download)

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Book Synopsis Modelwork by : Martin Brückner

Download or read book Modelwork written by Martin Brückner and published by U of Minnesota Press. This book was released on 2021-10-12 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: How making models allows us to recall what was and to discover what still might be Whether looking inward to the intricacies of human anatomy or outward to the furthest recesses of the universe, expanding the boundaries of human inquiry depends to a surprisingly large degree on the making of models. In this wide-ranging volume, scholars from diverse fields examine the interrelationships between a model’s material foundations and the otherwise invisible things it gestures toward, underscoring the pivotal role of models in understanding and shaping the world around us. Whether in the form of reproductions, interpretive processes, or constitutive tools, models may bridge the gap between the tangible and the abstract. By focusing on the material aspects of models, including the digital ones that would seem to displace their analogue forebears, these insightful essays ground modeling as a tactile and emphatically humanistic endeavor. With contributions from scholars in the history of science and technology, visual studies, musicology, literary studies, and material culture, this book demonstrates that models serve as invaluable tools across every field of cultural development, both historically and in the present day. Modelwork is unique in calling attention to modeling’s duality, a dynamic exchange between imagination and matter. This singular publication shows us how models shape our ability to ascertain the surrounding world and to find new ways to transform it. Contributors: Hilary Bryon, Virginia Tech; Johanna Drucker, UCLA; Seher Erdoğan Ford, Temple U; Peter Galison, Harvard U; Lisa Gitelman, New York U; Reed Gochberg, Harvard U; Catherine Newman Howe, Williams College; Christopher J. Lukasik, Purdue U; Martin Scherzinger, New York U; Juliet S. Sperling, U of Washington; Annabel Jane Wharton, Duke U.

Quantum Interaction

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Publisher : Springer
ISBN 13 : 3642356591
Total Pages : 239 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Quantum Interaction by : Jerome R. Busemeyer

Download or read book Quantum Interaction written by Jerome R. Busemeyer and published by Springer. This book was released on 2012-11-28 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th International Symposium on Quantum Interaction, QI 2012, held in Paris in June 2012. The 21 revised full papers presented were carefully reviewed and selected from 32 submissions. The papers cover various topics on quantum interaction.

Essential Quantum Optics

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Publisher : Cambridge University Press
ISBN 13 : 1139643878
Total Pages : 291 pages
Book Rating : 4.1/5 (396 download)

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Book Synopsis Essential Quantum Optics by : Ulf Leonhardt

Download or read book Essential Quantum Optics written by Ulf Leonhardt and published by Cambridge University Press. This book was released on 2010-02-18 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering some of the most exciting trends in quantum optics - quantum entanglement, teleportation, and levitation - this textbook is ideal for advanced undergraduate and graduate students. The book journeys through the vast field of quantum optics following a single theme: light in media. A wide range of subjects are covered, from the force of the quantum vacuum to astrophysics, from quantum measurements to black holes. Ideas are explained in detail and formulated so that students with little prior knowledge of the subject can follow them. Each chapter ends with several short questions followed by a more detailed homework problem, designed to test the reader and show how the ideas discussed can be applied. Solutions to homework problems are available at www.cambridge.org/9780521869782.

Novel Superfluids

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Publisher : OUP Oxford
ISBN 13 : 0191650196
Total Pages : 648 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Novel Superfluids by : Karl-Heinz Bennemann

Download or read book Novel Superfluids written by Karl-Heinz Bennemann and published by OUP Oxford. This book was released on 2013-02-28 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports on the latest developments in the field of Superfluidity. The phenomenon has had a tremendous impact on the fundamental sciences as well as a host of technologies. It began with the discovery of superconductivity in mercury in 1911, which was ultimately described theoretically by the theory of Bardeen Cooper and Schriever (BCS) in 1957. The analogous phenomena, superfluidity, was discovered in helium in 1938 and tentatively explained shortly thereafter as arising from a Bose-Einstein Condensation (BEC) by London. But the importance of superfluidity, and the range of systems in which it occurs, has grown enormously. In addition to metals and the helium liquids the phenomena has now been observed for photons in cavities, excitons in semiconductors, magnons in certain materials, and cold gasses trapped in high vacuum. It very likely exist for neutrons in a neutron star and, possibly, in a conjectured quark state at their center. Even the Universe itself can be regarded as being in a kind of superfluid state. All these topics are discussed by experts in the respective subfields.

The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type

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Publisher : Springer Science & Business Media
ISBN 13 : 3642244149
Total Pages : 219 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type by : Thomas H. Otway

Download or read book The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type written by Thomas H. Otway and published by Springer Science & Business Media. This book was released on 2012-01-07 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partial differential equations of mixed elliptic-hyperbolic type arise in diverse areas of physics and geometry, including fluid and plasma dynamics, optics, cosmology, traffic engineering, projective geometry, geometric variational theory, and the theory of isometric embeddings. And yet even the linear theory of these equations is at a very early stage. This text examines various Dirichlet problems which can be formulated for equations of Keldysh type, one of the two main classes of linear elliptic-hyperbolic equations. Open boundary conditions (in which data are prescribed on only part of the boundary) and closed boundary conditions (in which data are prescribed on the entire boundary) are both considered. Emphasis is on the formulation of boundary conditions for which solutions can be shown to exist in an appropriate function space. Specific applications to plasma physics, optics, and analysis on projective spaces are discussed. (From the preface)

The Twelfth Marcel Grossmann Meeting

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Publisher : World Scientific
ISBN 13 : 9814458031
Total Pages : 2660 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis The Twelfth Marcel Grossmann Meeting by : Thibault Damour

Download or read book The Twelfth Marcel Grossmann Meeting written by Thibault Damour and published by World Scientific. This book was released on 2012-02-02 with total page 2660 pages. Available in PDF, EPUB and Kindle. Book excerpt: Marcel Grossmann Meetings are formed to further the development of General Relativity by promoting theoretical understanding in the fields of physics, mathematics, astronomy and astrophysics and to direct future technological, observational, and experimental efforts. In these meetings are discussed recent developments in classical and quantum gravity, general relativity and relativistic astrophysics, with major emphasis on mathematical foundations and physical predictions, with the main objective of gathering scientists from diverse backgrounds for deepening the understanding of spacetime structure and reviewing the status of test-experiments for Einstein's theory of gravitation. The range of topics is broad, going from the more abstract classical theory, quantum gravity and strings, to the more concrete relativistic astrophysics observations and modeling. The three volumes of the proceedings of MG12 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting includes 29 plenary talks stretched over 6 mornings, and 74 parallel sessions over 5 afternoons. Volume A contains plenary and review talks ranging from the mathematical foundations of classical and quantum gravitational theories including recent developments in string theories, to precision tests of general relativity including progress towards the detection of gravitational waves, to relativistic astrophysics including such topics as gamma ray bursts, black hole physics both in our galaxy, in active galactic nuclei and in other galaxies, neutron stars, pulsar astrophysics, gravitational lensing effects, neutrino physics and ultra high energy cosmic rays. The rest of the volumes include parallel sessions on dark matter, neutrinos, X-ray sources, astrophysical black holes, neutron stars, binary systems, radiative transfer, accretion disks, alternative gravitational theories, perturbations of collapsed objects, analog models, black hole thermodynamics, cosmic background radiation & observational cosmology, numerical relativity & algebraic computing, gravitational lensing, variable “constants” of nature, large scale structure, topology of the universe, brane-world cosmology, early universe models & cosmic microwave background anisotropies, inhomogeneous cosmology, inflation, gamma ray burst modeling, supernovas, global structure, singularities, cosmic censorship, chaos, Einstein–Maxwell systems, inertial forces, gravitomagnetism, wormholes & time machines, exact solutions of Einstein's equations, gravitational waves, gravitational wave detectors & data analysis, precision gravitational measurements, history of relativity, quantum gravity & loop quantum gravity, Casimir effect, quantum cosmology, strings & branes, self-gravitating systems, gamma ray astronomy, cosmic rays, gamma ray bursts and quasars. Sample Chapter(s) Space-Time from the Spectral Point of View (467k) Contents: Space-Time from the Spectral Point of View (Ali H Chamseddine and Alain Connes)The Formation of Black Holes in General Relativity (Demetrios Christodoulou)Matching Conditions in Relativistic Astrophysics (Hernando Quevedo)Black Holes as a Source of Information (Juan Maldacena)Black Hole Microstate Counting and Its Macroscopic Counterpart (Ipsita Mandal and Ashoke Sen)Transplanckian String Collisions: An Update (Gabriele Veneziano)Ultraviolet Divergences and Scale-Dependent Gravitational Couplings (Herbert W Hamber)The Black Hole Stability Problem for Linear Scalar Perturbations (Mihalis Dafermos and Igor Rodnianski)The Global Network of Laser Interferometer Gravitational Wave Detectors (David H Reitze)Analytical Relativity of Black Holes (Thibault Damour)Detection of Gravitational Waves Using Pulsar Timing (Richard N Manchester)Relativistic Spin-Precession in Binary Pulsars (Michael Kramer)Supernovae and Gamma-Ray Bursts: 10 Years of Observations (Massimo Della Valle)Gamma-Ray Bursts as Relativistic Objects (Tsvi Piran)Fundamental Physics from Black Holes, Neutron Stars and Gamma-Ray Bursts (Remo Ruffini)The Fascinating TeV Sky (Felix Aharonian)Galaxy Clusters and Their Central Supermassive Black Holes: Case of M87 (Eugene Churazov, Sergey Sazonov, Rashid Sunyaev, William Forman, Christine Jones and Hans Böhringer)Intergalactic Shock Fronts (Maxim Markevitch)Studies of Dark Energy with X-Ray Observations of Galaxy Clusters (Alexey Vikhlinin)and other papers Keywords:General Relativity;Gravitation;Astrophysics;Quantum Gravity;Particle Physics;Cosmology;Theoretical Physics