Problems In Classical And Quantum Mechanics

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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 : 50,9 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.

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 : 51,5 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.

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 : 47,9 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.

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 : 49,9 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 versus Classical Mechanics and Integrability Problems

Maciej Błaszak
Quantum versus Classical Mechanics and Integrability Problems Book PDF

Author : Maciej Błaszak
Publisher : Springer
Page : 460 pages
File Size : 41,7 Mb
Release : 2019-06-11
Category : Science
ISBN : 9783030183790

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Quantum versus Classical Mechanics and Integrability Problems by Maciej Błaszak Pdf

This accessible monograph introduces physicists to the general relation between classical and quantum mechanics based on the mathematical idea of deformation quantization and describes an original approach to the theory of quantum integrable systems developed by the author.The first goal of the book is to develop of a common, coordinate free formulation of classical and quantum Hamiltonian mechanics, framed in common mathematical language.In particular, a coordinate free model of quantum Hamiltonian systems in Riemannian spaces is formulated, based on the mathematical idea of deformation quantization, as a complete physical theory with an appropriate mathematical accuracy.The second goal is to develop of a theory which allows for a deeper understanding of classical and quantum integrability. For this reason the modern separability theory on both classical and quantum level is presented. In particular, the book presents a modern geometric separability theory, based on bi-Poissonian and bi-presymplectic representations of finite dimensional Liouville integrable systems and their admissible separable quantizations.The book contains also a generalized theory of classical Stäckel transforms and the discussion of the concept of quantum trajectories.In order to make the text consistent and self-contained, the book starts with a compact overview of mathematical tools necessary for understanding the remaining part of the book. However, because the book is dedicated mainly to physicists, despite its mathematical nature, it refrains from highlighting definitions, theorems or lemmas.Nevertheless, all statements presented are either proved or the reader is referred to the literature where the proof is available.

Problems in Quantum Mechanics

V.I. Kogan,V.M. Galitskiy
Problems in Quantum Mechanics Book PDF

Author : V.I. Kogan,V.M. Galitskiy
Publisher : Courier Corporation
Page : 386 pages
File Size : 52,6 Mb
Release : 2013-12-17
Category : Science
ISBN : 9780486320656

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Problems in Quantum Mechanics by V.I. Kogan,V.M. Galitskiy Pdf

Written by a pair of distinguished Soviet mathematicians, this compilation presents 160 lucidly expressed problems in nonrelativistic quantum mechanics plus completely worked-out solutions. Some were drawn from the authors' courses at the Moscow Institute of Engineering, but most were prepared especially for this book. A high-level supplement rather than a primary text, it constitutes a masterful complement to advanced undergraduate and graduate texts and courses in quantum mechanics. The mathematics employed in the proofs of the problems—asymptotic expansions of functions, Green's functions, use of different representation spaces, and simple limiting cases—are detailed and comprehensive. Virtually no space is devoted to the physical statements underlying the problems, since this is usually covered in books on quantum mechanics. Teachers and students will find this volume particularly valuable in terms of its advanced mathematics and detailed presentations, its coverage of scattering theory, and its helpful graphs and explanatory figures.

Exploring Quantum Mechanics

Viktor Mikhaĭlovich Galit︠s︡kiĭ,Boris Karnakov,Victor Galitski,Vladimir Kogan,Vladimir Ilʹich Kogan
Exploring Quantum Mechanics Book PDF

Author : Viktor Mikhaĭlovich Galit︠s︡kiĭ,Boris Karnakov,Victor Galitski,Vladimir Kogan,Vladimir Ilʹich Kogan
Publisher : Oxford University Press
Page : 898 pages
File Size : 48,6 Mb
Release : 2013-02-28
Category : Science
ISBN : 9780199232710

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Exploring Quantum Mechanics by Viktor Mikhaĭlovich Galit︠s︡kiĭ,Boris Karnakov,Victor Galitski,Vladimir Kogan,Vladimir Ilʹich Kogan Pdf

A unique resource on quantum physics that contains original problems with solutions that can be used by teachers and students of quantum mechanics at graduate and undergraduate level. Numerous tricks-of-the-trade in solving quantum physics problems are included which can also be used by professional researchers in all fields of modern physics.

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 : 41,8 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.

Problems in Quantum Mechanics

D. ter Haar
Problems in Quantum Mechanics Book PDF

Author : D. ter Haar
Publisher : Courier Corporation
Page : 482 pages
File Size : 49,9 Mb
Release : 2014-06-10
Category : Science
ISBN : 9780486795058

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Problems in Quantum Mechanics by D. ter Haar Pdf

A wide-ranging collection of problems and solutions related to quantum mechanics, this text will be useful to students pursuing an advanced degree in physics. Topics include one-dimensional motion, tunnel effect, commutation relations, Heisenberg relations, spreading of wave packets, operators, angular momentum, spin, central field of force, motion of particles in a magnetic field, atoms, scattering, creation and annihilation operators, density matrix, relativistic wave equations, and many other subjects. Suitable for advanced undergraduates and graduate students of physics, this third edition was edited by Dirk ter Haar, a Fellow of Magdalen College and Reader in Theoretical Physics at the University of Oxford. This enlarged and revised edition includes additional problems from Oxford University Examination papers. The book can be used either in conjunction with another text or as advanced reading for anyone familiar with the basic ideas of quantum mechanics. 1975 edition.

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 : 678 pages
File Size : 55,9 Mb
Release : 1992-01-01
Category : Science
ISBN : 048667164X

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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.

Problems in Quantum Mechanics

F. Constantinescu,E. Magyari
Problems in Quantum Mechanics Book PDF

Author : F. Constantinescu,E. Magyari
Publisher : Elsevier
Page : 429 pages
File Size : 47,5 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483292946

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Problems in Quantum Mechanics by F. Constantinescu,E. Magyari Pdf

International Series in Natural Philosophy, Volume 30: Problems in Quantum Mechanics focuses on the processes, principles, reactions, and methodologies involved in quantum mechanics. The publication first elaborates on the mathematical formalism of quantum mechanics, simple quantum systems, and mean values and uncertainty relations. Discussions focus on mean values of dynamical variables, uncertainty relations, eigenfunctions and the energy spectrum, motion in a central field, matrix representation of vectors and operators, Hubert spaces, and operators in Hilbert space. The text then takes a look at mean values and uncertainty relations, semi-classical approximation, and pictures and representations. The book takes a look at orbital angular momentum and spin, systems of identical particles, and perturbation theory. Topics include variational method, stationary state perturbation theory, isotopic spin, second quantization, properties of angular momentum operators, and angular momentum and rotations of coordinate axes. The manuscript also ponders on functions used in quantum mechanics, relativistic quantum mechanics, and radiation theory. The publication is a dependable reference for researchers interested in quantum mechanics.

A Modern Approach to Quantum Mechanics

John S. Townsend
A Modern Approach to Quantum Mechanics Book PDF

Author : John S. Townsend
Publisher : University Science Books
Page : 498 pages
File Size : 52,9 Mb
Release : 2000
Category : Science
ISBN : 1891389130

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A Modern Approach to Quantum Mechanics by John S. Townsend Pdf

Inspired by Richard Feynman and J.J. Sakurai, A Modern Approach to Quantum Mechanics allows lecturers to expose their undergraduates to Feynman's approach to quantum mechanics while simultaneously giving them a textbook that is well-ordered, logical and pedagogically sound. This book covers all the topics that are typically presented in a standard upper-level course in quantum mechanics, but its teaching approach is new. Rather than organizing his book according to the historical development of the field and jumping into a mathematical discussion of wave mechanics, Townsend begins his book with the quantum mechanics of spin. Thus, the first five chapters of the book succeed in laying out the fundamentals of quantum mechanics with little or no wave mechanics, so the physics is not obscured by mathematics. Starting with spin systems it gives students straightfoward examples of the structure of quantum mechanics. When wave mechanics is introduced later, students should perceive it correctly as only one aspect of quantum mechanics and not the core of the subject.

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 : 44,7 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.

Problems in Quantum Mechanics

Emilio d'Emilio,Luigi E. Picasso
Problems in Quantum Mechanics Book PDF

Author : Emilio d'Emilio,Luigi E. Picasso
Publisher : Springer
Page : 383 pages
File Size : 49,8 Mb
Release : 2017-03-02
Category : Science
ISBN : 9783319532677

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Problems in Quantum Mechanics by Emilio d'Emilio,Luigi E. Picasso Pdf

This second edition of an extremely well-received book presents more than 250 nonrelativistic quantum mechanics problems of varying difficulty with the aim of providing students didactic material of proven value, allowing them to test their comprehension and mastery of each subject. The coverage is extremely broad, from themes related to the crisis of classical physics through achievements within the framework of modern atomic physics to lively debated, intriguing aspects relating to, for example, the EPR paradox, the Aharonov-Bohm effect, and quantum teleportation. Compared with the first edition, a variety of improvements have been made and additional topics of interest included, especially focusing on elementary potential scattering. The problems themselves range from standard and straightforward ones to those that are complex but can be considered essential because they address questions of outstanding importance or aspects typically overlooked in primers. The book offers students both an excellent tool for independent learning and a ready-reference guide they can return to later in their careers.

Mathematical Methods In Classical And Quantum Physics

Tulsi Dass,S.K. Sharma
Mathematical Methods In Classical And Quantum Physics Book PDF

Author : Tulsi Dass,S.K. Sharma
Publisher : Universities Press
Page : 718 pages
File Size : 52,6 Mb
Release : 1998
Category : Mathematical physics
ISBN : 8173710899

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Mathematical Methods In Classical And Quantum Physics by Tulsi Dass,S.K. Sharma Pdf

This book is intended to provide an adequate background for various theortical physics courses, especially those in classical mechanics, electrodynamics, quatum mechanics and statistical physics. Each topic is dealt with in a generally self-contained manner and the text is interspersed with a number of solved examples ad a large number of exercise problems.