A Trajectory Description of Quantum Processes. I. Fundamentals

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Publisher : Springer
ISBN 13 : 9783642180934
Total Pages : 299 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis A Trajectory Description of Quantum Processes. I. Fundamentals by : Ángel S. Sanz

Download or read book A Trajectory Description of Quantum Processes. I. Fundamentals written by Ángel S. Sanz and published by Springer. This book was released on 2012-03-31 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trajectory-based formalisms are an intuitively appealing way of describing quantum processes because they allow the use of "classical" concepts. Beginning at an introductory level suitable for students, this two-volume monograph presents (1) the fundamentals and (2) the applications of the trajectory description of basic quantum processes. This first volume is focussed on the classical and quantum background necessary to understand the fundamentals of Bohmian mechanics, which can be considered the main topic of this work. Extensions of the formalism to the fields of open quantum systems and to optics are also proposed and discussed.

A Trajectory Description of Quantum Processes. II. Applications

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Publisher : Springer
ISBN 13 : 3642179746
Total Pages : 345 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis A Trajectory Description of Quantum Processes. II. Applications by : Ángel S. Sanz

Download or read book A Trajectory Description of Quantum Processes. II. Applications written by Ángel S. Sanz and published by Springer. This book was released on 2013-09-13 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trajectory-based formalisms are an intuitively appealing way of describing quantum processes because they allow the use of "classical" concepts. Beginning as an introductory level suitable for students, this two-volume monograph presents (1) the fundamentals and (2) the applications of the trajectory description of basic quantum processes. This second volume is focussed on simple and basic applications of quantum processes such as interference and diffraction of wave packets, tunneling, diffusion and bound-state and scattering problems. The corresponding analysis is carried out within the Bohmian framework. By stressing its interpretational aspects, the book leads the reader to an alternative and complementary way to better understand the underlying quantum dynamics.

A Trajectory Description of Quantum Processes. I. Fundamentals

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Author :
Publisher : Springer
ISBN 13 : 3642180922
Total Pages : 309 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis A Trajectory Description of Quantum Processes. I. Fundamentals by : Ángel S. Sanz

Download or read book A Trajectory Description of Quantum Processes. I. Fundamentals written by Ángel S. Sanz and published by Springer. This book was released on 2012-03-27 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trajectory-based formalisms are an intuitively appealing way of describing quantum processes because they allow the use of "classical" concepts. Beginning at an introductory level suitable for students, this two-volume monograph presents (1) the fundamentals and (2) the applications of the trajectory description of basic quantum processes. This first volume is focussed on the classical and quantum background necessary to understand the fundamentals of Bohmian mechanics, which can be considered the main topic of this work. Extensions of the formalism to the fields of open quantum systems and to optics are also proposed and discussed.

A Trajectory Description of Quantum Processes

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (876 download)

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Book Synopsis A Trajectory Description of Quantum Processes by : Ángel S. Sanz

Download or read book A Trajectory Description of Quantum Processes written by Ángel S. Sanz and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Trajectory Description of Quantum Processes. II. Applications

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Publisher :
ISBN 13 : 9783642179754
Total Pages : 356 pages
Book Rating : 4.1/5 (797 download)

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Book Synopsis A Trajectory Description of Quantum Processes. II. Applications by : Ángel S. Sanz

Download or read book A Trajectory Description of Quantum Processes. II. Applications written by Ángel S. Sanz and published by . This book was released on 2013-10-31 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Emergent Quantum Mechanics

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Publisher : MDPI
ISBN 13 : 3038976164
Total Pages : 544 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Emergent Quantum Mechanics by : Jan Walleczek

Download or read book Emergent Quantum Mechanics written by Jan Walleczek and published by MDPI. This book was released on 2019-04-02 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emergent quantum mechanics explores the possibility of an ontology for quantum mechanics. The resurgence of interest in "deeper-level" theories for quantum phenomena challenges the standard, textbook interpretation. The book presents expert views that critically evaluate the significance—for 21st century physics—of ontological quantum mechanics, an approach that David Bohm helped pioneer. The possibility of a deterministic quantum theory was first introduced with the original de Broglie-Bohm theory, which has also been developed as Bohmian mechanics. The wide range of perspectives that were contributed to this book on the occasion of David Bohm’s centennial celebration provide ample evidence for the physical consistency of ontological quantum mechanics. The book addresses deeper-level questions such as the following: Is reality intrinsically random or fundamentally interconnected? Is the universe local or nonlocal? Might a radically new conception of reality include a form of quantum causality or quantum ontology? What is the role of the experimenter agent? As the book demonstrates, the advancement of ‘quantum ontology’—as a scientific concept—marks a clear break with classical reality. The search for quantum reality entails unconventional causal structures and non-classical ontology, which can be fully consistent with the known record of quantum observations in the laboratory.

Quantum Foundations

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Publisher : MDPI
ISBN 13 : 3038977543
Total Pages : 188 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Quantum Foundations by : Pedro W. Lamberti

Download or read book Quantum Foundations written by Pedro W. Lamberti and published by MDPI. This book was released on 2019-04-02 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its conception 90 years ago, the quantum uncertainty principle introduced by Werner Heisenberg lies behind most important features of quantum physics, and its implications have an impact that goes far beyond the physics community. This book focuses on the quantum uncertainty principle, providing an up-to-date examination of recent developments of its applications in quantum information theory. The book brings together several renowned experts working in the foundations of quantum mechanics and quantum information theory. The authors provide different approaches to the study of uncertainty relations and other fundamental aspects of the quantum formalism. Topics addressed include entanglement and Bell inequalities, the application of entropic information measures to the study of uncertainty inequalities, the characterization of deep learning networks in the context of adiabatic quantum computation, and the study of general properties of the set of quantum states. The content of this book will surely benefit both experienced and new researchers specializing in quantum information theory and the foundations of quantum mechanics.

Bohmian Mechanics, Open Quantum Systems and Continuous Measurements

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Publisher : Springer
ISBN 13 : 3319536532
Total Pages : 241 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Bohmian Mechanics, Open Quantum Systems and Continuous Measurements by : Antonio B. Nassar

Download or read book Bohmian Mechanics, Open Quantum Systems and Continuous Measurements written by Antonio B. Nassar and published by Springer. This book was released on 2017-03-14 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows how Bohmian mechanics overcomes the need for a measurement postulate involving wave function collapse. The measuring process plays a very important role in quantum mechanics. It has been widely analyzed within the Copenhagen approach through the Born and von Neumann postulates, with later extension due to Lüders. In contrast, much less effort has been invested in the measurement theory within the Bohmian mechanics framework. The continuous measurement (sharp and fuzzy, or strong and weak) problem is considered here in this framework. The authors begin by generalizing the so-called Mensky approach, which is based on restricted path integral through quantum corridors. The measuring system is then considered to be an open quantum system following a stochastic Schrödinger equation. Quantum stochastic trajectories (in the Bohmian sense) and their role in basic quantum processes are discussed in detail. The decoherence process is thereby described in terms of classical trajectories issuing from the violation of the noncrossing rule of quantum trajectories.

Advances in Neutron Optics

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Publisher : CRC Press
ISBN 13 : 1000727548
Total Pages : 289 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Advances in Neutron Optics by : Maria L. Calvo

Download or read book Advances in Neutron Optics written by Maria L. Calvo and published by CRC Press. This book was released on 2019-11-11 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutron optics studies the interactions of a beam of slow neutrons with matter. This book updates various advances on neutron optics. There will be a focus on the very active topics of neutron imaging (NI) and neutron spin optics (NSO). The book will also present applications of neutron beams in biomedicine, such as Boron Neutron Capture Therapy (BNCT) and related techniques. Features: Discusses diffraction and interference of slow neutrons, including computational approaches Reviews neutron imaging (NI) and neutron spin optics (NSO) Treats two major sources of slow neutron beams: (1) fission reactions at nuclear reactors and (2) collisions in particle accelerators (small ones, spallation sources) of charged particle beams with targets of heavy atoms Selects subjects on fundamental quantum aspects of slow neutrons and on confined propagation and waveguiding thereof Updates slow neutron beams and BNCT

Applied Bohmian Mechanics

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Publisher : CRC Press
ISBN 13 : 1000650561
Total Pages : 361 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Applied Bohmian Mechanics by : Xavier Oriols Pladevall

Download or read book Applied Bohmian Mechanics written by Xavier Oriols Pladevall and published by CRC Press. This book was released on 2019-05-24 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most textbooks explain quantum mechanics as a story where each step follows naturally from the one preceding it. However, the development of quantum mechanics was exactly the opposite. It was a zigzag route, full of personal disputes where scientists were forced to abandon well-established classical concepts and to explore new and imaginative pathways. Some of the explored routes were successful in providing new mathematical formalisms capable of predicting experiments at the atomic scale. However, even such successful routes were painful enough, so that relevant scientists like Albert Einstein and Erwin Schrödinger decided not to support them. In this book, the authors demonstrate the huge practical utility of another of these routes in explaining quantum phenomena in many different research fields. Bohmian mechanics, the formulation of the quantum theory pioneered by Louis de Broglie and David Bohm, offers an alternative mathematical formulation of quantum phenomena in terms of quantum trajectories. Novel computational tools to explore physical scenarios that are currently computationally inaccessible, such as many-particle solutions of the Schrödinger equation, can be developed from it.

Quantum Chemistry and Dynamics of Excited States

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Publisher : John Wiley & Sons
ISBN 13 : 1119417724
Total Pages : 688 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Quantum Chemistry and Dynamics of Excited States by : Leticia González

Download or read book Quantum Chemistry and Dynamics of Excited States written by Leticia González and published by John Wiley & Sons. This book was released on 2020-11-10 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the rapidly evolving methodology of electronic excited states For academic researchers, postdocs, graduate and undergraduate students, Quantum Chemistry and Dynamics of Excited States: Methods and Applications reports the most updated and accurate theoretical techniques to treat electronic excited states. From methods to deal with stationary calculations through time-dependent simulations of molecular systems, this book serves as a guide for beginners in the field and knowledge seekers alike. Taking into account the most recent theory developments and representative applications, it also covers the often-overlooked gap between theoretical and computational chemistry. An excellent reference for both researchers and students, Excited States provides essential knowledge on quantum chemistry, an in-depth overview of the latest developments, and theoretical techniques around the properties and nonadiabatic dynamics of chemical systems. Readers will learn: ● Essential theoretical techniques to describe the properties and dynamics of chemical systems ● Electronic Structure methods for stationary calculations ● Methods for electronic excited states from both a quantum chemical and time-dependent point of view ● A breakdown of the most recent developments in the past 30 years For those searching for a better understanding of excited states as they relate to chemistry, biochemistry, industrial chemistry, and beyond, Quantum Chemistry and Dynamics of Excited States provides a solid education in the necessary foundations and important theories of excited states in photochemistry and ultrafast phenomena.

Chemical Reactivity

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Publisher : Elsevier
ISBN 13 : 0323906281
Total Pages : 502 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Chemical Reactivity by : Savas Kaya

Download or read book Chemical Reactivity written by Savas Kaya and published by Elsevier. This book was released on 2023-05-15 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: The growth of technology for chemical assessment has led to great developments in the investigation of chemical reactivity in recent years, but key information is often dispersed across many different research fields. Exploring both traditional and advanced methods, Chemical Reactivity, Volume 2: Approaches and Applications present the latest approaches and strategies for the computational assessment of chemical reactivity.Following an insightful introduction, the book begins with an overview of conformer searching techniques before progressing to explore numerous different techniques and methods, including confined environments, quantum similarity descriptors, volume-based thermodynamics and polarizability. A unified approach to the rules of aromaticity is followed by methods for assessing interaction energies and the role of electron density for varied different analyses. Algorithms for confirmer searching, partitioning and a whole range of quantum chemical methods are also discussed.Consolidating the knowledge of a global team of experts in the field, Chemical Reactivity, Volume 2: Approaches and Applications is a useful resource for both students and researchers interested in applying and refining their use of the latest approaches for assessing chemical reactivity in their own work. Compiles a broad range of contemporary methods and approaches for reactivity and structure prediction Highlights the application of chemical reactivity strategies for the investigation of such areas as aromaticity, halogen bonds, and electronic materials Includes discussion of computational tools for exploring molecular spaces from different angles, including interaction energies, quantum similarity, and electron density

Generated Dynamics of Markov and Quantum Processes

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Publisher : Springer
ISBN 13 : 3662496968
Total Pages : 226 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Generated Dynamics of Markov and Quantum Processes by : Martin Janßen

Download or read book Generated Dynamics of Markov and Quantum Processes written by Martin Janßen and published by Springer. This book was released on 2016-04-28 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents Markov and quantum processes as two sides of a coin called generated stochastic processes. It deals with quantum processes as reversible stochastic processes generated by one-step unitary operators, while Markov processes are irreversible stochastic processes generated by one-step stochastic operators. The characteristic feature of quantum processes are oscillations, interference, lots of stationary states in bounded systems and possible asymptotic stationary scattering states in open systems, while the characteristic feature of Markov processes are relaxations to a single stationary state. Quantum processes apply to systems where all variables, that control reversibility, are taken as relevant variables, while Markov processes emerge when some of those variables cannot be followed and are thus irrelevant for the dynamic description. Their absence renders the dynamic irreversible. A further aim is to demonstrate that almost any subdiscipline of theoretical physics can conceptually be put into the context of generated stochastic processes. Classical mechanics and classical field theory are deterministic processes which emerge when fluctuations in relevant variables are negligible. Quantum mechanics and quantum field theory consider genuine quantum processes. Equilibrium and non-equilibrium statistics apply to the regime where relaxing Markov processes emerge from quantum processes by omission of a large number of uncontrollable variables. Systems with many variables often self-organize in such a way that only a few slow variables can serve as relevant variables. Symmetries and topological classes are essential in identifying such relevant variables. The third aim of this book is to provide conceptually general methods of solutions which can serve as starting points to find relevant variables as to apply best-practice approximation methods. Such methods are available through generating functionals. The potential reader is a graduate student who has heard already a course in quantum theory and equilibrium statistical physics including the mathematics of spectral analysis (eigenvalues, eigenvectors, Fourier and Laplace transformation). The reader should be open for a unifying look on several topics.

Applications of Contact Geometry and Topology in Physics

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Publisher : World Scientific
ISBN 13 : 9814412090
Total Pages : 492 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Applications of Contact Geometry and Topology in Physics by : Arkady Leonidovich Kholodenko

Download or read book Applications of Contact Geometry and Topology in Physics written by Arkady Leonidovich Kholodenko and published by World Scientific. This book was released on 2013 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although contact geometry and topology is briefly discussed in V I Arnol''d''s book Mathematical Methods of Classical Mechanics (Springer-Verlag, 1989, 2nd edition), it still remains a domain of research in pure mathematics, e.g. see the recent monograph by H Geiges An Introduction to Contact Topology (Cambridge U Press, 2008). Some attempts to use contact geometry in physics were made in the monograph Contact Geometry and Nonlinear Differential Equations (Cambridge U Press, 2007). Unfortunately, even the excellent style of this monograph is not sufficient to attract the attention of the physics community to this type of problems. This book is the first serious attempt to change the existing status quo. In it we demonstrate that, in fact, all branches of theoretical physics can be rewritten in the language of contact geometry and topology: from mechanics, thermodynamics and electrodynamics to optics, gauge fields and gravity; from physics of liquid crystals to quantum mechanics and quantum computers, etc. The book is written in the style of famous Landau-Lifshitz (L-L) multivolume course in theoretical physics. This means that its readers are expected to have solid background in theoretical physics (at least at the level of the L-L course). No prior knowledge of specialized mathematics is required. All needed new mathematics is given in the context of discussed physical problems. As in the L-L course some problems/exercises are formulated along the way and, again as in the L-L course, these are always supplemented by either solutions or by hints (with exact references). Unlike the L-L course, though, some definitions, theorems, and remarks are also presented. This is done with the purpose of stimulating the interest of our readers in deeper study of subject matters discussed in the text.

Progress in Optics

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Publisher : Academic Press
ISBN 13 : 0444637214
Total Pages : 422 pages
Book Rating : 4.4/5 (446 download)

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Book Synopsis Progress in Optics by : Taco Visser

Download or read book Progress in Optics written by Taco Visser and published by Academic Press. This book was released on 2016-04-08 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Progress in Optics series contains more than 300 review articles by distinguished research workers, which have become permanent records for many important developments, helping optical scientists and optical engineers stay abreast of their fields. Comprehensive, in-depth reviews Edited by the leading authority in the field

Principles of Electron Optics, Volume 3

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Publisher : Academic Press
ISBN 13 : 0128189800
Total Pages : 562 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Principles of Electron Optics, Volume 3 by : Peter W. Hawkes

Download or read book Principles of Electron Optics, Volume 3 written by Peter W. Hawkes and published by Academic Press. This book was released on 2022-02-21 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Electron Optic: Volume Three: Wave Optics, discusses this essential topic in microscopy to help readers understand the propagation of electrons from the source to the specimen, and through the latter (and from it) to the image plane of the instrument. In addition, it also explains interference phenomena, notably holography, and informal coherence theory. This third volume accompanies volumes one and two that cover new content on holography and interference, improved and new modes of image formation, aberration corrected imaging, simulation, and measurement, 3D-reconstruction, and more. The study of such beams forms the subject of electron optics, which divides naturally into geometrical optics where effects due to wavelength are neglected, with wave optics considered. Includes authoritative coverage of the fundamental theory behind electron beams Describes the interaction of electrons with solids and the information that can be obtained from electron-beam techniques Addresses recent, relevant research topics, including new content on holography and interference, new modes of image formation, 3D reconstruction and aberration corrected imaging, simulation and measurement

Mathematical Optics

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Publisher : CRC Press
ISBN 13 : 1439869618
Total Pages : 630 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematical Optics by : Vasudevan Lakshminarayanan

Download or read book Mathematical Optics written by Vasudevan Lakshminarayanan and published by CRC Press. This book was released on 2018-10-08 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: Going beyond standard introductory texts, Mathematical Optics: Classical, Quantum, and Computational Methods brings together many new mathematical techniques from optical science and engineering research. Profusely illustrated, the book makes the material accessible to students and newcomers to the field. Divided into six parts, the text presents state-of-the-art mathematical methods and applications in classical optics, quantum optics, and image processing. Part I describes the use of phase space concepts to characterize optical beams and the application of dynamic programming in optical waveguides. Part II explores solutions to paraxial, linear, and nonlinear wave equations. Part III discusses cutting-edge areas in transformation optics (such as invisibility cloaks) and computational plasmonics. Part IV uses Lorentz groups, dihedral group symmetry, Lie algebras, and Liouville space to analyze problems in polarization, ray optics, visual optics, and quantum optics. Part V examines the role of coherence functions in modern laser physics and explains how to apply quantum memory channel models in quantum computers. Part VI introduces super-resolution imaging and differential geometric methods in image processing. As numerical/symbolic computation is an important tool for solving numerous real-life problems in optical science, many chapters include Mathematica® code in their appendices. The software codes and notebooks as well as color versions of the book’s figures are available at www.crcpress.com.