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Quantum versus Classical Mechanics and Integrability Problems, Maciej B?aszak


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Цена: 15372.00р.
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Автор: Maciej B?aszak
Название:  Quantum versus Classical Mechanics and Integrability Problems
ISBN: 9783030183783
Издательство: Springer
Классификация:



ISBN-10: 3030183785
Обложка/Формат: Hardcover
Страницы: 460
Вес: 0.88 кг.
Дата издания: 2019
Язык: English
Издание: 1st ed. 2019
Иллюстрации: XIII, 460 p.
Размер: 234 x 156 x 27
Читательская аудитория: Professional & vocational
Основная тема: Physics
Подзаголовок: towards a unification of approaches and tools
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:
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 St?ckel 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.

Дополнительное описание: Introduction.- Basic Mathematical Tools.- Classical Hamiltonian Mechanics.- Classical Integrable and Separable Hamiltonian Systems.- Classical Separability Theory.- Deformation Theory of Classical Poisson Algebras.- Quantum Hamiltonian Mechanics on Symple



Symmetries and Integrability of Difference Equations

Автор: Decio Levi; Rapha?l Rebelo; Pavel Winternitz
Название: Symmetries and Integrability of Difference Equations
ISBN: 3319566652 ISBN-13(EAN): 9783319566658
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference equations.

Classical Mechanics Illustrated By Modern Physics: 42 Problems With Solutions

Автор: Guery-Odelin David & Lahaye Thierry
Название: Classical Mechanics Illustrated By Modern Physics: 42 Problems With Solutions
ISBN: 1848164793 ISBN-13(EAN): 9781848164796
Издательство: World Scientific Publishing
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Цена: 11880.00 р.
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Описание: In many fields of modern physics, classical mechanics plays a key role. This book provides an illustration of classical mechanics in the form of problems (at the bachelor level) inspired - for most of them - by contemporary research in physics, and resulting from the teaching and research experience of the authors.

Nonlinear Dynamical Systems Of Mathematical Physics: Spectral And Symplectic Integrability Analysis

Автор: Blackmore Denis Et Al
Название: Nonlinear Dynamical Systems Of Mathematical Physics: Spectral And Symplectic Integrability Analysis
ISBN: 9814327158 ISBN-13(EAN): 9789814327152
Издательство: World Scientific Publishing
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Цена: 28512.00 р.
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Описание: Presents a grounding in modern nonlinear integrable dynamics theory and applications in mathematical physics, and an introduction to the developments in the field. This book begins with an introduction modern integrable dynamical systems theory, treating such topics as Liouville-Arnold and Mischenko-Fomenko integrability.

Nonlinear Dynamics  Integrability, Chaos and Patterns

Автор: Lakshmanan, Muthusamy, Rajaseekar, Shanmuganathan
Название: Nonlinear Dynamics Integrability, Chaos and Patterns
ISBN: 3642628729 ISBN-13(EAN): 9783642628726
Издательство: Springer
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Цена: 25149.00 р.
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Описание: Integrability, chaos and patterns are three of the most important concepts in nonlinear dynamics. These are covered in this book from fundamentals to recent developments. The book presents a self-contained treatment of the subject to suit the needs of students, teachers and researchers in physics, mathematics, engineering and applied sciences who wish to gain a broad knowledge of nonlinear dynamics. It describes fundamental concepts, theoretical procedures, experimental and numerical techniques and technological applications of nonlinear dynamics. Numerous examples and problems are included to facilitate the understanding of the concepts and procedures described. In addition to 16 chapters of main material, the book contains 10 appendices which present in-depth mathematical formulations involved in the analysis of various nonlinear systems.

Integrability

Автор: Alexander Mikhailov
Название: Integrability
ISBN: 3642099904 ISBN-13(EAN): 9783642099908
Издательство: Springer
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Цена: 11179.00 р.
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Описание: Integrable systems are used for a range of applications in modern theoretical and mathematical physics. This text presents various views on the definition of integrable systems and develops methods and tests for integrability based on those definitions.

Integrability

Автор: Alexander Mikhailov
Название: Integrability
ISBN: 3540881107 ISBN-13(EAN): 9783540881100
Издательство: Springer
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Цена: 11179.00 р.
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Описание: Integrable systems are used for a range of applications in modern theoretical and mathematical physics. This text presents various views on the definition of integrable systems and develops methods and tests for integrability based on those definitions.

Differential Equations - Geometry, Symmetries and Integrability

Автор: Boris Kruglikov; Valentin Lychagin; Eldar Straume
Название: Differential Equations - Geometry, Symmetries and Integrability
ISBN: 3642269338 ISBN-13(EAN): 9783642269332
Издательство: Springer
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Цена: 23058.00 р.
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Описание: This book contains papers presented at the Abel Symposium 2008, which focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. It presents a modern approach to this classical subject.

Integrability, Supersymmetry and Coherent States

Автор: ?eng?l Kuru; Javier Negro; Luis M. Nieto
Название: Integrability, Supersymmetry and Coherent States
ISBN: 3030200868 ISBN-13(EAN): 9783030200862
Издательство: Springer
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Цена: 15372.00 р.
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Описание:

This volume shares and makes accessible new research lines and recent results in several branches of theoretical and mathematical physics, among them Quantum Optics, Coherent States, Integrable Systems, SUSY Quantum Mechanics, and Mathematical Methods in Physics. In addition to a selection of the contributions presented at the '6th International Workshop on New Challenges in Quantum Mechanics: Integrability and Supersymmetry', held in Valladolid, Spain, 27-30 June 2017, several high quality contributions from other authors are also included. The conference gathered 60 participants from many countries working in different fields of Theoretical Physics, and was dedicated to Prof. V?ronique Hussin—an internationally recognized expert in many branches of Mathematical Physics who has been making remarkable contributions to this field since the 1980s. The reader will find interesting reviews on the main topics from internationally recognized experts in each field, as well as other original contributions, all of which deal with recent applications or discoveries in the aforementioned areas.
Aspects of Integrability of Differential Systems and Fields

Автор: Costas J. Papachristou
Название: Aspects of Integrability of Differential Systems and Fields
ISBN: 3030350010 ISBN-13(EAN): 9783030350017
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This book serves as an introduction to the concept of integrability as it applies to systems of differential equations as well as to vector-valued fields. The author focuses on specific aspects of integrability that are often encountered in a variety of problems in applied mathematics, physics and engineering. The following general cases of integrability are examined: (a) path-independence of line integrals of vector fields on the plane and in space; (b) integration of a system of ordinary differential equations by using first integrals; and (c) integrable systems of partial differential equations. Special topics include the integration of analytic functions and some elements from the geometric theory of differential systems. Certain more advanced subjects, such as Lax pairs and B?cklund transformations, are also discussed.The book is written at an intermediate level for educational purposes. The presentation is as simple as the topics allow, often sacrificing mathematical rigor in favor of pedagogical efficiency.

Problems in Classical and Quantum Mechanics

Автор: J. Daniel Kelley; Jacob J. Leventhal
Название: Problems in Classical and Quantum Mechanics
ISBN: 3319466623 ISBN-13(EAN): 9783319466620
Издательство: Springer
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Цена: 11878.00 р.
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Описание:

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.
Essential Classical Mechanics: Problems and Solutions

Автор: Lee Choonkyu, Min Hyunsoo
Название: Essential Classical Mechanics: Problems and Solutions
ISBN: 9813270977 ISBN-13(EAN): 9789813270978
Издательство: World Scientific Publishing
Цена: 7128.00 р.
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Описание: 'The authors of this book offer a very strong reason for the study of classical mechanics describing it 'as the base on which the whole pyramid of modern physics has been erected' ... In order that students can gauge their understanding of the various topics, many exercises are introduced. Some of those should be straightforward whilst others are quite challenging ... The authors are to be thanked for delivering a highly readable text which should assure a continued supply of practitioners of classical mechanics and its applications.'Contemporary PhysicsProblem solving in physics is not simply a test of understanding, but an integral part of learning. This book contains complete step-by-step solutions for all exercise problems in Essential Classical Mechanics, with succinct chapter-by-chapter summaries of key concepts and formulas. The degree of difficulty with problems varies from quite simple to very challenging; but none too easy, as all problems in physics demand some subtlety of intuition. The emphasis of the book is not so much in acquainting students with various problem-solving techniques as in suggesting ways of thinking. For undergraduate and graduate students, as well as those involved in teaching classical mechanics, this book can be used as a supplementary text or as an independent study aid.

Problems And Solutions On Mechanics (Second Edition)

Автор: Lai Choy Heng, Kwek Leong-chuan, Lim Swee Cheng
Название: Problems And Solutions On Mechanics (Second Edition)
ISBN: 9811213402 ISBN-13(EAN): 9789811213403
Издательство: World Scientific Publishing
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Цена: 21384.00 р.
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Описание: This volume is a compilation of carefully selected questions at the PhD qualifying exam level, including many actual questions from Columbia University, University of Chicago, MIT, State University of New York at Buffalo, Princeton University, University of Wisconsin and the University of California at Berkeley over a twenty-year period. Topics covered in this book include dynamics of systems of point masses, rigid bodies and deformable bodies, Lagrange's and Hamilton's equations, and special relativity.This latest edition has been updated with more problems and solutions and the original problems have also been modernized, excluding outdated questions and emphasizing those that rely on calculations. The problems range from fundamental to advanced in a wide range of topics on mechanics, easily enhancing the student's knowledge through workable exercises. Simple-to-solve problems play a useful role as a first check of the student's level of knowledge whereas difficult problems will challenge the student's capacity on finding the solutions.


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