Classical And Quantum Dynamics
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Classical And Quantum Dynamics
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Author : Walter Dittrich
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Classical And Quantum Dynamics written by Walter Dittrich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Graduate students who want to become familiar with advanced computational strategies in classical and quantum dynamics will find here both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, together with many worked examples throughout the text. This second edition has been enlarged by a new chapter on topological phases in planar electrodynamics and a discussion of the Aharonov-Bohm effect.
Classical And Quantum Dynamics
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Author : Dittrich
language : en
Publisher:
Release Date : 1994
Classical And Quantum Dynamics written by Dittrich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
Classical And Quantum Dynamics In Condensed Phase Simulations Proceedings Of The International School Of Physics
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Author : Bruce J Berne
language : en
Publisher: World Scientific
Release Date : 1998-06-17
Classical And Quantum Dynamics In Condensed Phase Simulations Proceedings Of The International School Of Physics written by Bruce J Berne and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-06-17 with Science categories.
The school held at Villa Marigola, Lerici, Italy, in July 1997 was very much an educational experiment aimed not just at teaching a new generation of students the latest developments in computer simulation methods and theory, but also at bringing together researchers from the condensed matter computer simulation community, the biophysical chemistry community and the quantum dynamics community to confront the shared problem: the development of methods to treat the dynamics of quantum condensed phase systems.This volume collects the lectures delivered there. Due to the focus of the school, the contributions divide along natural lines into two broad groups: (1) the most sophisticated forms of the art of computer simulation, including biased phase space sampling schemes, methods which address the multiplicity of time scales in condensed phase problems, and static equilibrium methods for treating quantum systems; (2) the contributions on quantum dynamics, including methods for mixing quantum and classical dynamics in condensed phase simulations and methods capable of treating all degrees of freedom quantum-mechanically.
Problems In Classical And Quantum Mechanics
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Author : J. Daniel Kelley
language : en
Publisher: Springer
Release Date : 2016-11-30
Problems In Classical And Quantum Mechanics written by J. Daniel Kelley and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-30 with Science categories.
This book is a collection of problems that are intended to aid students in graduate and undergraduate courses in Classical and Quantum Physics. It is also intended to be a study aid for students that are preparing for the PhD qualifying exam. Many of the included problems are of a type that could be on a qualifying exam. Others are meant to elucidate important concepts. Unlike other compilations of problems, the detailed solutions are often accompanied by discussions that reach beyond the specific problem.The solution of the problem is only the beginning of the learning process--it is by manipulation of the solution and changing of the parameters that a great deal of insight can be gleaned. The authors refer to this technique as "massaging the problem," and it is an approach that the authors feel increases the pedagogical value of any problem.
Classical Semiclassical And Quantum Dynamics In Atoms
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Author : Harald Friedrich
language : en
Publisher: Springer
Release Date : 1997-06-19
Classical Semiclassical And Quantum Dynamics In Atoms written by Harald Friedrich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-06-19 with Computers categories.
Content Description #Includes bibliographical references and index.
Geometry From Dynamics Classical And Quantum
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Author : José F. Cariñena
language : en
Publisher: Springer
Release Date : 2014-09-23
Geometry From Dynamics Classical And Quantum written by José F. Cariñena and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-23 with Science categories.
This book describes, by using elementary techniques, how some geometrical structures widely used today in many areas of physics, like symplectic, Poisson, Lagrangian, Hermitian, etc., emerge from dynamics. It is assumed that what can be accessed in actual experiences when studying a given system is just its dynamical behavior that is described by using a family of variables ("observables" of the system). The book departs from the principle that ''dynamics is first'' and then tries to answer in what sense the sole dynamics determines the geometrical structures that have proved so useful to describe the dynamics in so many important instances. In this vein it is shown that most of the geometrical structures that are used in the standard presentations of classical dynamics (Jacobi, Poisson, symplectic, Hamiltonian, Lagrangian) are determined, though in general not uniquely, by the dynamics alone. The same program is accomplished for the geometrical structures relevant to describe quantum dynamics. Finally, it is shown that further properties that allow the explicit description of the dynamics of certain dynamical systems, like integrability and super integrability, are deeply related to the previous development and will be covered in the last part of the book. The mathematical framework used to present the previous program is kept to an elementary level throughout the text, indicating where more advanced notions will be needed to proceed further. A family of relevant examples is discussed at length and the necessary ideas from geometry are elaborated along the text. However no effort is made to present an ''all-inclusive'' introduction to differential geometry as many other books already exist on the market doing exactly that. However, the development of the previous program, considered as the posing and solution of a generalized inverse problem for geometry, leads to new ways of thinking and relating some of the most conspicuous geometrical structures appearing in Mathematical and Theoretical Physics.
Quantum Dynamics For Classical Systems
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Author : Fabio Bagarello
language : en
Publisher: John Wiley & Sons
Release Date : 2012-10-11
Quantum Dynamics For Classical Systems written by Fabio Bagarello and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-11 with Science categories.
Introduces number operators with a focus on the relationship between quantum mechanics and social science Mathematics is increasingly applied to classical problems in finance, biology, economics, and elsewhere. Quantum Dynamics for Classical Systems describes how quantum tools—the number operator in particular—can be used to create dynamical systems in which the variables are operator-valued functions and whose results explain the presented model. The book presents mathematical results and their applications to concrete systems and discusses the methods used, results obtained, and techniques developed for the proofs of the results. The central ideas of number operators are illuminated while avoiding excessive technicalities that are unnecessary for understanding and learning the various mathematical applications. The presented dynamical systems address a variety of contexts and offer clear analyses and explanations of concluded results. Additional features in Quantum Dynamics for Classical Systems include: Applications across diverse fields including stock markets and population migration as well as a unique quantum perspective on these classes of models Illustrations of the use of creation and annihilation operators for classical problems Examples of the recent increase in research and literature on the many applications of quantum tools in applied mathematics Clarification on numerous misunderstandings and misnomers while shedding light on new approaches in the field Quantum Dynamics for Classical Systems is an ideal reference for researchers, professionals, and academics in applied mathematics, economics, physics, biology, and sociology. The book is also excellent for courses in dynamical systems, quantum mechanics, and mathematical models.
Classical And Quantum Dynamics Of Constrained Hamiltonian Systems
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Author : Heinz J Rothe
language : en
Publisher: World Scientific
Release Date : 2010-04-14
Classical And Quantum Dynamics Of Constrained Hamiltonian Systems written by Heinz J Rothe and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-14 with Science categories.
This book is an introduction to the field of constrained Hamiltonian systems and their quantization, a topic which is of central interest to theoretical physicists who wish to obtain a deeper understanding of the quantization of gauge theories, such as describing the fundamental interactions in nature. Beginning with the early work of Dirac, the book covers the main developments in the field up to more recent topics, such as the field-antifield formalism of Batalin and Vilkovisky, including a short discussion of how gauge anomalies may be incorporated into this formalism. All topics are well illustrated with examples emphasizing points of central interest. The book should enable graduate students to follow the literature on this subject without much problems, and to perform research in this field.
Comparisons Of Classical And Quantum Dynamics
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Author : William L. Hase
language : en
Publisher: JAI Press(NY)
Release Date : 1998
Comparisons Of Classical And Quantum Dynamics written by William L. Hase and has been published by JAI Press(NY) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Dynamics categories.
Both classical and quantum mechanical methods are widely used to simulate the dynamics of chemical reactions and molecular motion. In recent work it has become possible to extend quantum dynamics calculations to larger systems, with up to five atoms and many vibrational/rotational states. Through faster and larger computers, enhancements of computational algorithms, and improvements in methodologies will allow quantum dynamical simulations of even larger systems, such extensions are expected to be rather slow and gradual. Thus, for the foreseeable future, classical trajectories are expected to remain a practical and general approach for simulating the dynamics of molecular processes. The seven chapters in this volume deal with: classical and quantum statistical mechanical simulations of the structures and thermodynamics of clusters; the correspondence between the classical and quantum mechanics of highly excited vibrational states; approximate quantum/classical approaches for simulating proton and electron transfer reactions in the condensed phase, and the transition state dynamics of A-B-C heavy-light-heavy systems; a comparison of classical and quantum mechanical calculations of properties of bimolecular reactions, ranging from state-to-state cross sections to thermal rate constants; and calssical and quantum dynamical studies of photon-induced processes on solid surfaces.
Advanced Quantum Mechanics The Classical Quantum Connection
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Author : Reinhold Blumel
language : en
Publisher: Jones & Bartlett Publishers
Release Date : 2010-04-28
Advanced Quantum Mechanics The Classical Quantum Connection written by Reinhold Blumel and has been published by Jones & Bartlett Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-28 with Science categories.
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