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Quantum Dimensions
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Book Synopsis Quantum Physics in One Dimension by : Thierry Giamarchi
Download or read book Quantum Physics in One Dimension written by Thierry Giamarchi and published by Oxford University Press. This book was released on 2004 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents in a pedagogical yet complete way correlated systems in one dimension. After an introduction to the basic concepts of correlated systems, it gives a step-by-step description of the techniques needed to treat one dimension, and discusses the resulting physics.
Book Synopsis Quantum Gravity in 2+1 Dimensions by : Steven Carlip
Download or read book Quantum Gravity in 2+1 Dimensions written by Steven Carlip and published by Cambridge University Press. This book was released on 2003-12-04 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.
Book Synopsis Conformal Quantum Field Theory in D-dimensions by : E.S. Fradkin
Download or read book Conformal Quantum Field Theory in D-dimensions written by E.S. Fradkin and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our prime concern in this book is to discuss some most interesting prosppcts that have occurred recently in conformally invariant quantum field theory in a D-diuwnsional space. One of the most promising trends is constructing an pxact solution for a cprtain class of models. This task seems to be quite feasible in the light of recent resllits. The situation here is to some extent similar to what was going on in the past ypars with the two-dimensional quantum field theory. Our investigation of conformal Ward identities in a D-dimensional space, carried out as far hack as the late H. J7Gs, showed that in the D-dimensional quantum field theory, irrespective of the type of interartion, there exists a special set of states of the field with the following property: if we rpqllire that one of these states should vanish, this determines an exact solution of 3. certain field model. These states are analogous to null-vectors which determine the minimal models in the two-dimensional field theory. On the other hand, the recent resparches supplied us with a number of indications on the existencp of an intinite-parampter algebra analogous to the Virasoro algebra in spaces of higher dimensions D 2: :~. It has also been shown that this algebra admits an operator rentral expansion. It seems to us that the above-mentioned models are field theoretical realizations of the representations of these new symmetries for D 2: ;3.
Download or read book Warped Passages written by Lisa Randall and published by Harper Collins. This book was released on 2009-10-21 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: The universe has many secrets. It may hide additional dimensions of space other than the familier three we recognize. There might even be another universe adjacent to ours, invisible and unattainable . . . for now. Warped Passages is a brilliantly readable and altogether exhilarating journey that tracks the arc of discovery from early twentieth-century physics to the razor's edge of modern scientific theory. One of the world's leading theoretical physicists, Lisa Randall provides astonishing scientific possibilities that, until recently, were restricted to the realm of science fiction. Unraveling the twisted threads of the most current debates on relativity, quantum mechanics, and gravity, she explores some of the most fundamental questions posed by Nature—taking us into the warped, hidden dimensions underpinning the universe we live in, demystifying the science of the myriad worlds that may exist just beyond our own.
Download or read book Hyperspace written by Michio Kaku and published by Oxford University Press. This book was released on 1994-03-24 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are there other dimensions beyond our own? Is time travel possible? Can we change the past? Are there gateways to parallel universes? All of us have pondered such questions, but there was a time when scientists dismissed these notions as outlandish speculations. Not any more. Today, they are the focus of the most intense scientific activity in recent memory. In Hyperspace, Michio Kaku, author of the widely acclaimed Beyond Einstein and a leading theoretical physicist, offers the first book-length tour of the most exciting (and perhaps most bizarre) work in modern physics, work which includes research on the tenth dimension, time warps, black holes, and multiple universes. The theory of hyperspace (or higher dimensional space)--and its newest wrinkle, superstring theory--stand at the center of this revolution, with adherents in every major research laboratory in the world, including several Nobel laureates. Beginning where Hawking's Brief History of Time left off, Kaku paints a vivid portrayal of the breakthroughs now rocking the physics establishment. Why all the excitement? As the author points out, for over half a century, scientists have puzzled over why the basic forces of the cosmos--gravity, electromagnetism, and the strong and weak nuclear forces--require markedly different mathematical descriptions. But if we see these forces as vibrations in a higher dimensional space, their field equations suddenly fit together like pieces in a jigsaw puzzle, perfectly snug, in an elegant, astonishingly simple form. This may thus be our leading candidate for the Theory of Everything. If so, it would be the crowning achievement of 2,000 years of scientific investigation into matter and its forces. Already, the theory has inspired several thousand research papers, and has been the focus of over 200 international conferences. Michio Kaku is one of the leading pioneers in superstring theory and has been at the forefront of this revolution in modern physics. With Hyperspace, he has produced a book for general readers which conveys the vitality of the field and the excitement as scientists grapple with the meaning of space and time. It is an exhilarating look at physics today and an eye-opening glimpse into the ultimate nature of the universe.
Book Synopsis Elementary Quantum Mechanics in One Dimension by : Robert Gilmore
Download or read book Elementary Quantum Mechanics in One Dimension written by Robert Gilmore and published by JHU Press. This book was released on 2004-10-22 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the key components of modern physics, quantum mechanics is used in such fields as chemistry, electrical engineering, and computer science. Central to quantum mechanics is Schrödinger's Equation, which explains the behavior of atomic particles and the energy levels of a quantum system. Robert Gilmore's innovative approach to Schrödinger's Equation offers new insight into quantum mechanics at an elementary level. Gilmore presents compact transfer matrix methods for solving quantum problems that can easily be implemented on a personal computer. He shows how to use these methods on a large variety of potentials, both simple and periodic. He shows how to compute bound states, scattering states, and energy bands and describes the relation between bound and scattering states. Chapters on alloys, superlattices, quantum engineering, and solar cells indicate the practical application of the methods discussed. Gilmore's concise and elegant treatment will be of interest to students and professors of introductory and intermediate quantum courses, as well as professionals working in electrical engineering and applied mathematics.
Book Synopsis Quantum Groups in Two-Dimensional Physics by : Cisar Gómez
Download or read book Quantum Groups in Two-Dimensional Physics written by Cisar Gómez and published by Cambridge University Press. This book was released on 1996-04-18 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A 1996 introduction to integrability and conformal field theory in two dimensions using quantum groups.
Book Synopsis An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry by : Ilarion V. Melnikov
Download or read book An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry written by Ilarion V. Melnikov and published by Springer. This book was released on 2019-02-11 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces two-dimensional supersymmetric field theories with emphasis on both linear and non-linear sigma models. Complex differential geometry, in connection with supersymmetry, has played a key role in most developments of the last thirty years in quantum field theory and string theory. Both structures introduce a great deal of rigidity compared to the more general categories of non-supersymmetric theories and real differential geometry, allowing for many general conceptual results and detailed quantitative predictions. Two-dimensional (0,2) supersymmetric quantum field theories provide a natural arena for the fruitful interplay between geometry and quantum field theory. These theories play an important role in string theory and provide generalizations, still to be explored fully, of rich structures such as mirror symmetry. They also have applications to non-perturbative four-dimensional physics, for instance as descriptions of surface defects or low energy dynamics of solitonic strings in four-dimensional supersymmetric theories. The purpose of these lecture notes is to acquaint the reader with these fascinating theories, assuming a background in conformal theory, quantum field theory and differential geometry at the beginning graduate level. In order to investigate the profound relations between structures from complex geometry and field theory the text begins with a thorough examination of the basic structures of (0,2) quantum field theory and conformal field theory. Next, a simple class of Lagrangian theories, the (0,2) Landau-Ginzburg models, are discussed, together with the resulting renormalization group flows, dynamics, and symmetries. After a thorough introduction and examination of (0,2) non-linear sigma models, the text introduces linear sigma models that, in particular, provide a unified treatment of non-linear sigma models and Landau-Ginzburg theories. Many exercises, along with discussions of relevant mathematical notions and important open problems in the field, are included in the text.
Book Synopsis The Philosophy of Physics by : Dean Rickles
Download or read book The Philosophy of Physics written by Dean Rickles and published by John Wiley & Sons. This book was released on 2016-08-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Does the future exist already? What is space? Are time machines physically possible? What is quantum mechanical reality like? Are there many universes? Is there a ‘true’ geometry of the universe? Why does there appear to be an arrow of time? Do humans play a special role in the world? In this unique introductory book, Dean Rickles guides the reader through these and other core questions that keep philosophers of physics up at night. He discusses the three pillars of modern physics (quantum mechanics, statistical mechanics, and the theories of relativity), in addition to more cutting-edge themes such as econophysics, quantum gravity, quantum computers, and gauge theories. The book’s approach is based on the idea that philosophy of physics is a kind of ‘interpretation game’ in which we try to map physical theories onto our world. But the rules of this game often lead to a multiplicity of possible victors: rarely do we encounter a simple answer. The Philosophy of Physics offers a highly accessible introduction to the latest developments in this exciting field. Written in a lively style, with many visual examples, it will appeal to beginner-level students in both physics and philosophy.
Book Synopsis Wave Equations in Higher Dimensions by : Shi-Hai Dong
Download or read book Wave Equations in Higher Dimensions written by Shi-Hai Dong and published by Springer Science & Business Media. This book was released on 2011-07-09 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Higher dimensional theories have attracted much attention because they make it possible to reduce much of physics in a concise, elegant fashion that unifies the two great theories of the 20th century: Quantum Theory and Relativity. This book provides an elementary description of quantum wave equations in higher dimensions at an advanced level so as to put all current mathematical and physical concepts and techniques at the reader’s disposal. A comprehensive description of quantum wave equations in higher dimensions and their broad range of applications in quantum mechanics is provided, which complements the traditional coverage found in the existing quantum mechanics textbooks and gives scientists a fresh outlook on quantum systems in all branches of physics. In Parts I and II the basic properties of the SO(n) group are reviewed and basic theories and techniques related to wave equations in higher dimensions are introduced. Parts III and IV cover important quantum systems in the framework of non-relativistic and relativistic quantum mechanics in terms of the theories presented in Part II. In particular, the Levinson theorem and the generalized hypervirial theorem in higher dimensions, the Schrödinger equation with position-dependent mass and the Kaluza-Klein theory in higher dimensions are investigated. In this context, the dependence of the energy levels on the dimension is shown. Finally, Part V contains conclusions, outlooks and an extensive bibliography.
Book Synopsis The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory by : Brian Greene
Download or read book The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory written by Brian Greene and published by W. W. Norton & Company. This book was released on 2003-09-30 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the superstring theory that attempts to unite general relativity and quantum mechanics.
Book Synopsis Exact Methods in Low-dimensional Statistical Physics and Quantum Computing by : Stephane Ouvry
Download or read book Exact Methods in Low-dimensional Statistical Physics and Quantum Computing written by Stephane Ouvry and published by Oxford University Press. This book was released on 2010-04-22 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: Low-dimensional statistical models are instrumental in improving our understanding of emerging fields, such as quantum computing and cryptography, complex systems, and quantum fluids. This book of lectures by international leaders in the field sets these issues into a larger and more coherent theoretical perspective than is currently available.
Book Synopsis Visual Quantum Mechanics by : Bernd Thaller
Download or read book Visual Quantum Mechanics written by Bernd Thaller and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Visual Quantum Mechanics" uses the computer-generated animations found on the accompanying material on Springer Extras to introduce, motivate, and illustrate the concepts explained in the book. While there are other books on the market that use Mathematica or Maple to teach quantum mechanics, this book differs in that the text describes the mathematical and physical ideas of quantum mechanics in the conventional manner. There is no special emphasis on computational physics or requirement that the reader know a symbolic computation package. Despite the presentation of rather advanced topics, the book requires only calculus, making complicated results more comprehensible via visualization. The material on Springer Extras provides easy access to more than 300 digital movies, animated illustrations, and interactive pictures. This book along with its extra online materials forms a complete introductory course on spinless particles in one and two dimensions.
Book Synopsis God The Dimensional Revelation by : Allyn Richert
Download or read book God The Dimensional Revelation written by Allyn Richert and published by Page Publishing Inc. This book was released on 2023-05-12 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: What questions do you have about Your Life, Your Being, Your Soul, and Your Conscious Awareness? GOD--The Dimensional Revelation is a book revealing reality. Broadly stated, reality is defined as "all that exists." The study of reality is called "metaphysics." Metaphysics is the primary field of philosophy. Metaphysics is divided into two major fields of study. These are cosmology and ontology. GOD--The Dimensional Revelation reveals cosmological facts about our big bang. Our research reconciles relativity theory and quantum mechanics. Ontologically, This Teaching Reveals a clear theology about GOD and Your Relationship with GOD. Learn how to use the scientific method to prove that the Reality You and I Experience is a partial Fusion of our physical universe with our separate Spiritual Universe. This Teaching proves this in the context of 10 Dimensions of Reality, some of which are original to this book. These 10 Dimensions are clearly explained and verified. Dimensional Reasoning is offered as a tool anyone can use to answer all the great questions of Existence. The Source of Being is clearly identified, as well as the Destination of Individual Being. Reading and Participating in the Knowledge Shared in this book will increase your Confidence, Personal Power, and help You Grow Spiritually.
Book Synopsis Science and Engineering of One- and Zero-Dimensional Semiconductors by : Steven P. Beaumont
Download or read book Science and Engineering of One- and Zero-Dimensional Semiconductors written by Steven P. Beaumont and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises the proceedings of the NATO Advanced Research Workshop on the Science and Engineering of 1- and O-dimensional semiconductors held at the University of Cadiz from 29th March to 1st April 1989, under the auspices of the NATO International Scientific Exchange Program. There is a wealth of scientific activity on the properties of two-dimensional semiconductors arising largely from the ease with which such structures can now be grown by precision epitaxy techniques or created by inversion at the silicon-silicon dioxide interface. Only recently, however, has there burgeoned an interest in the properties of structures in which carriers are further confined with only one or, in the extreme, zero degrees of freedom. This workshop was one of the first meetings to concentrate almost exclusively on this subject: that the attendance of some forty researchers only represented the community of researchers in the field testifies to its rapid expansion, which has arisen from the increasing availability of technologies for fabricating structures with small enough (sub - O. I/tm) dimensions. Part I of this volume is a short section on important topics in nanofabrication. It should not be assumed from the brevity of this section that there is little new to be said on this issue: rather that to have done justice to it would have diverted attention from the main purpose of the meeting which was to highlight experimental and theoretical research on the structures themselves.
Book Synopsis Quantum Ontology by : Peter J. Lewis
Download or read book Quantum Ontology written by Peter J. Lewis and published by Oxford University Press. This book was released on 2016-06-13 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metaphysicians should pay attention to quantum mechanics. Why? Not because it provides definitive answers to many metaphysical questions-the theory itself is remarkably silent on the nature of the physical world, and the various interpretations of the theory on offer present conflicting ontological pictures. Rather, quantum mechanics is essential to the metaphysician because it reshapes standard metaphysical debates and opens up unforeseen new metaphysical possibilities. Even if quantum mechanics provides few clear answers, there are good reasons to think that any adequate understanding of the quantum world will result in a radical reshaping of our classical world-view in some way or other. Whatever the world is like at the atomic scale, it is almost certainly not the swarm of particles pushed around by forces that is often presupposed. This book guides readers through the theory of quantum mechanics and its implications for metaphysics in a clear and accessible way. The theory and its various interpretations are presented with a minimum of technicality. The consequences of these interpretations for metaphysical debates concerning realism, indeterminacy, causation, determinism, holism, and individuality (among other topics) are explored in detail, stressing the novel form that the debates take given the empirical facts in the quantum domain. While quantum mechanics may not deliver unconditional pronouncements on these issues, the range of possibilities consistent with our knowledge of the empirical world is relatively small-and each possibility is metaphysically revisionary in some way. This book will appeal to researchers, students, and anybody else interested in how science informs our world-view.
Book Synopsis Calabi-Yau Varieties and Mirror Symmetry by : Noriko Yui
Download or read book Calabi-Yau Varieties and Mirror Symmetry written by Noriko Yui and published by American Mathematical Soc.. This book was released on with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of mirror symmetry originated in physics, but in recent years, the field of mirror symmetry has exploded onto the mathematical scene. It has inspired many new developments in algebraic and arithmetic geometry, toric geometry, the theory of Riemann surfaces, and infinite-dimensional Lie algebras among others. The developments in physics stimulated the interest of mathematicians in Calabi-Yau varieties. This led to the realization that the time is ripe for mathematicians, armed with many concrete examples and alerted by the mirror symmetry phenomenon, to focus on Calabi-Yau varieties and to test for these special varieties some of the great outstanding conjectures, e.g., the modularity conjecture for Calabi-Yau threefolds defined over the rationals, the Bloch-Beilinson conjectures, regulator maps of higher algebraic cycles, Picard-Fuchs differential equations, GKZ hypergeometric systems, and others. The articles in this volume report on current developments. The papers are divided roughly into two categories: geometric methods and arithmetic methods. One of the significant outcomes of the workshop is that we are finally beginning to understand the mirror symmetry phenomenon from the arithmetic point of view, namely, in terms of zeta-functions and L-series of mirror pairs of Calabi-Yau threefolds. The book is suitable for researchers interested in mirror symmetry and string theory.
