From Classical To Quantum Mechanics

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From Classical to Quantum Mechanics

Giampiero Esposito,Giuseppe Marmo,George Sudarshan
From Classical to Quantum Mechanics Book PDF

Author : Giampiero Esposito,Giuseppe Marmo,George Sudarshan
Publisher : Cambridge University Press
Page : 612 pages
File Size : 42,5 Mb
Release : 2004-03-11
Category : Science
ISBN : 9781139450546

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From Classical to Quantum Mechanics by Giampiero Esposito,Giuseppe Marmo,George Sudarshan Pdf

This 2004 textbook provides a pedagogical introduction to the formalism, foundations and applications of quantum mechanics. Part I covers the basic material which is necessary to understand the transition from classical to wave mechanics. Topics include classical dynamics, with emphasis on canonical transformations and the Hamilton-Jacobi equation, the Cauchy problem for the wave equation, Helmholtz equation and eikonal approximation, introduction to spin, perturbation theory and scattering theory. The Weyl quantization is presented in Part II, along with the postulates of quantum mechanics. Part III is devoted to topics such as statistical mechanics and black-body radiation, Lagrangian and phase-space formulations of quantum mechanics, and the Dirac equation. This book is intended for use as a textbook for beginning graduate and advanced undergraduate courses. It is self-contained and includes problems to aid the reader's understanding.

Chaos in Classical and Quantum Mechanics

Martin C. Gutzwiller
Chaos in Classical and Quantum Mechanics Book PDF

Author : Martin C. Gutzwiller
Publisher : Springer Science & Business Media
Page : 445 pages
File Size : 50,9 Mb
Release : 2013-11-27
Category : Mathematics
ISBN : 9781461209836

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Chaos in Classical and Quantum Mechanics by Martin C. Gutzwiller Pdf

Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.

Mathematics of Classical and Quantum Physics

Frederick W. Byron,Robert W. Fuller
Mathematics of Classical and Quantum Physics Book PDF

Author : Frederick W. Byron,Robert W. Fuller
Publisher : Courier Corporation
Page : 674 pages
File Size : 48,7 Mb
Release : 2012-04-26
Category : Science
ISBN : 9780486135069

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Mathematics of Classical and Quantum Physics by Frederick W. Byron,Robert W. Fuller Pdf

Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.

Mathematical Topics Between Classical and Quantum Mechanics

Nicholas P. Landsman
Mathematical Topics Between Classical and Quantum Mechanics Book PDF

Author : Nicholas P. Landsman
Publisher : Springer Science & Business Media
Page : 547 pages
File Size : 49,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461216803

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Mathematical Topics Between Classical and Quantum Mechanics by Nicholas P. Landsman Pdf

This monograph draws on two traditions: the algebraic formulation of quantum mechanics as well as quantum field theory, and the geometric theory of classical mechanics. These are combined in a unified treatment of the theory of Poisson algebras of observables and pure state spaces with a transition probability, which leads on to a discussion of the theory of quantization and the classical limit from this perspective. A prototype of quantization comes from the analogy between the C*- algebra of a Lie groupoid and the Poisson algebra of the corresponding Lie algebroid. The parallel between reduction of symplectic manifolds in classical mechanics and induced representations of groups and C*- algebras in quantum mechanics plays an equally important role. Examples from physics include constrained quantization, curved spaces, magnetic monopoles, gauge theories, massless particles, and $theta$- vacua. Accessible to mathematicians with some prior knowledge of classical and quantum mechanics, and to mathematical physicists and theoretical physicists with some background in functional analysis.

Geometric Formulation of Classical and Quantum Mechanics

G. Giachetta,L. G. Magiaradze,Gennadi? Aleksandrovich Sardanashvili
Geometric Formulation of Classical and Quantum Mechanics Book PDF

Author : G. Giachetta,L. G. Magiaradze,Gennadi? Aleksandrovich Sardanashvili
Publisher : World Scientific
Page : 405 pages
File Size : 51,9 Mb
Release : 2011
Category : Science
ISBN : 9789814313728

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Geometric Formulation of Classical and Quantum Mechanics by G. Giachetta,L. G. Magiaradze,Gennadi? Aleksandrovich Sardanashvili Pdf

The geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted. This book provides the geometric formulation of non-autonomous mechanics in a general setting of time-dependent coordinate and reference frame transformations.

Classical Systems in Quantum Mechanics

Pavel Bóna
Classical Systems in Quantum Mechanics Book PDF

Author : Pavel Bóna
Publisher : Springer Nature
Page : 243 pages
File Size : 54,8 Mb
Release : 2020-06-23
Category : Science
ISBN : 9783030450700

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Classical Systems in Quantum Mechanics by Pavel Bóna Pdf

This book investigates two possibilities for describing classical-mechanical physical systems along with their Hamiltonian dynamics in the framework of quantum mechanics.The first possibility consists in exploiting the geometrical properties of the set of quantum pure states of "microsystems" and of the Lie groups characterizing the specific classical system. The second approach is to consider quantal systems of a large number of interacting subsystems – i.e. macrosystems, so as to study the quantum mechanics of an infinite number of degrees of freedom and to look for the behaviour of their collective variables. The final chapter contains some solvable models of “quantum measurement" describing dynamical transitions from "microsystems" to "macrosystems".

Geometric Phases in Classical and Quantum Mechanics

Dariusz Chruscinski,Andrzej Jamiolkowski
Geometric Phases in Classical and Quantum Mechanics Book PDF

Author : Dariusz Chruscinski,Andrzej Jamiolkowski
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 41,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9780817681760

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Geometric Phases in Classical and Quantum Mechanics by Dariusz Chruscinski,Andrzej Jamiolkowski Pdf

Several well-established geometric and topological methods are used in this work in an application to a beautiful physical phenomenon known as the geometric phase. This book examines the geometric phase, bringing together different physical phenomena under a unified mathematical scheme. The material is presented so that graduate students and researchers in applied mathematics and physics with an understanding of classical and quantum mechanics can handle the text.

Problems in Classical and Quantum Mechanics

J. Daniel Kelley,Jacob J. Leventhal
Problems in Classical and Quantum Mechanics Book PDF

Author : J. Daniel Kelley,Jacob J. Leventhal
Publisher : Springer
Page : 368 pages
File Size : 53,7 Mb
Release : 2016-11-30
Category : Science
ISBN : 9783319466644

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Problems in Classical and Quantum Mechanics by J. Daniel Kelley,Jacob J. Leventhal Pdf

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.

Advanced Quantum Mechanics

Reinhold Blümel
Advanced Quantum Mechanics Book PDF

Author : Reinhold Blümel
Publisher : Jones & Bartlett Learning
Page : 438 pages
File Size : 50,8 Mb
Release : 2011-08-24
Category : Science
ISBN : 9781934015520

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Advanced Quantum Mechanics by Reinhold Blümel Pdf

Physics

Classical Mechanics and Quantum Mechanics: An Historic-Axiomatic Approach

Peter Enders
Classical Mechanics and Quantum Mechanics An Historic Axiomatic Approach Book PDF

Author : Peter Enders
Publisher : Bentham Science Publishers
Page : 380 pages
File Size : 42,7 Mb
Release : 2019-09-05
Category : Science
ISBN : 9781681084503

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Classical Mechanics and Quantum Mechanics: An Historic-Axiomatic Approach by Peter Enders Pdf

This unique textbook presents a novel, axiomatic pedagogical path from classical to quantum physics. Readers are introduced to the description of classical mechanics, which rests on Euler’s and Helmholtz’s rather than Newton’s or Hamilton’s representations. Special attention is given to the common attributes rather than to the differences between classical and quantum mechanics. Readers will also learn about Schrödinger’s forgotten demands on quantization, his equation, Einstein’s idea of ‘quantization as selection problem’. The Schrödinger equation is derived without any assumptions about the nature of quantum systems, such as interference and superposition, or the existence of a quantum of action, h. The use of the classical expressions for the potential and kinetic energies within quantum physics is justified. Key features: · Presents extensive reference to original texts. · Includes many details that do not enter contemporary representations of classical mechanics, although these details are essential for understanding quantum physics. · Contains a simple level of mathematics which is seldom higher than that of the common (Riemannian) integral. · Brings information about important scientists · Carefully introduces basic equations, notations and quantities in simple steps This book addresses the needs of physics students, teachers and historians with its simple easy to understand presentation and comprehensive approach to both classical and quantum mechanics..

Quantum-Classical Correspondence

A. O. Bolivar
Quantum Classical Correspondence Book PDF

Author : A. O. Bolivar
Publisher : Springer Science & Business Media
Page : 196 pages
File Size : 45,6 Mb
Release : 2013-04-09
Category : Science
ISBN : 9783662096499

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Quantum-Classical Correspondence by A. O. Bolivar Pdf

At what level of physical existence does "quantum behavior" begin? How does it develop from classical mechanics? This book addresses these questions and thereby sheds light on fundamental conceptual problems of quantum mechanics. It elucidates the problem of quantum-classical correspondence by developing a procedure for quantizing stochastic systems (e.g. Brownian systems) described by Fokker-Planck equations. The logical consistency of the scheme is then verified by taking the classical limit of the equations of motion and corresponding physical quantities. Perhaps equally important, conceptual problems concerning the relationship between classical and quantum physics are identified and discussed. Graduate students and physical scientists will find this an accessible entrée to an intriguing and thorny issue at the core of modern physics.

Classical and Quantum Physics

G. Marmo,David Martín de Diego,Miguel Muñoz Lecanda
Classical and Quantum Physics Book PDF

Author : G. Marmo,David Martín de Diego,Miguel Muñoz Lecanda
Publisher : Springer Nature
Page : 388 pages
File Size : 40,6 Mb
Release : 2019-10-26
Category : Science
ISBN : 9783030247485

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Classical and Quantum Physics by G. Marmo,David Martín de Diego,Miguel Muñoz Lecanda Pdf

This proceedings is based on the interdisciplinary workshop held in Madrid, 5-9 March 2018, dedicated to Alberto Ibort on his 60th birthday. Alberto has great and significantly contributed to many fields of mathematics and physics, always with highly original and innovative ideas.Most of Albertos’s scientific activity has been motivated by geometric ideas, concepts and tools that are deeply related to the framework of classical dynamics and quantum mechanics.Let us mention some of the fields of expertise of Alberto Ibort:Geometric Mechanics; Constrained Systems; Variational Principles; Multisymplectic structures for field theories; Super manifolds; Inverse problem for Bosonic and Fermionic systems; Quantum Groups, Integrable systems, BRST Symmetries; Implicit differential equations; Yang-Mills Theories; BiHamiltonian Systems; Topology Change and Quantum Boundary Conditions; Classical and Quantum Control; Orthogonal Polynomials; Quantum Field Theory and Noncommutative Spaces; Classical and Quantum Tomography; Quantum Mechanics on phase space; Wigner-Weyl formalism; Lie-Jordan Algebras, Classical and Quantum; Quantum-to-Classical transition; Contraction of Associative Algebras; contact geometry, among many others.In each contribution, one may find not only technical novelties but also completely new way of looking at the considered problems. Even an experienced reader, reading Alberto's contributions on his field of expertise, will find new perspectives on the considered topic.His enthusiasm is happily contagious, for this reason he has had, and still has, very bright students wishing to elaborate their PhD thesis under his guidance.What is more impressive, is the broad list of rather different topics on which he has contributed.

Chaos in Classical and Quantum Mechanics

Martin C. Gutzwiller
Chaos in Classical and Quantum Mechanics Book PDF

Author : Martin C. Gutzwiller
Publisher : Springer Science & Business Media
Page : 450 pages
File Size : 55,6 Mb
Release : 1991-08-01
Category : Mathematics
ISBN : 9780387971735

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Chaos in Classical and Quantum Mechanics by Martin C. Gutzwiller Pdf

Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.

Quantum Information Theory

Mark Wilde
Quantum Information Theory Book PDF

Author : Mark Wilde
Publisher : Cambridge University Press
Page : 673 pages
File Size : 53,6 Mb
Release : 2013-04-18
Category : Computers
ISBN : 9781107034259

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Quantum Information Theory by Mark Wilde Pdf

A self-contained, graduate-level textbook that develops from scratch classical results as well as advances of the past decade.

Foundations of Classical and Quantum Statistical Mechanics

R. Jancel
Foundations of Classical and Quantum Statistical Mechanics Book PDF

Author : R. Jancel
Publisher : Elsevier
Page : 440 pages
File Size : 41,5 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483186269

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Foundations of Classical and Quantum Statistical Mechanics by R. Jancel Pdf

Foundations of Classical and Quantum Statistical Mechanics details the theoretical foundation the supports the concepts in classical and quantum statistical mechanics. The title discusses the various problems set by the theoretical justification of statistical mechanics methods. The text first covers the the ergodic theory in classical statistical mechanics, and then proceeds to tackling quantum mechanical ensembles. Next, the selection discusses the the ergodic theorem in quantum statistical mechanics and probability quantum ergodic theorems. The selection also details H-theorems and kinetic equations in classical and quantum statistical mechanics. The book will be of great interest to students, researchers, and practitioners of physics, chemistry, and engineering.