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The Mathematical Principles of Quantum Mechanics

Author : Derek F. Lawden
Publisher : Courier Corporation
Page : 306 pages
File Size : 21,69 MB
Release : 2005-01-01
Category : Science
ISBN : 0486442233

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Focusing on the principles of quantum mechanics, this text for upper-level undergraduates and graduate students introduces and resolves special physical problems with more than 100 exercises. 1967 edition.

Principles of Quantum Mechanics

Author : R. Shankar
Publisher : Springer Science & Business Media
Page : 676 pages
File Size : 28,78 MB
Release : 2012-12-06
Category : Science
ISBN : 147570576X

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R. Shankar has introduced major additions and updated key presentations in this second edition of Principles of Quantum Mechanics. New features of this innovative text include an entirely rewritten mathematical introduction, a discussion of Time-reversal invariance, and extensive coverage of a variety of path integrals and their applications. Additional highlights include: - Clear, accessible treatment of underlying mathematics - A review of Newtonian, Lagrangian, and Hamiltonian mechanics - Student understanding of quantum theory is enhanced by separate treatment of mathematical theorems and physical postulates - Unsurpassed coverage of path integrals and their relevance in contemporary physics The requisite text for advanced undergraduate- and graduate-level students, Principles of Quantum Mechanics, Second Edition is fully referenced and is supported by many exercises and solutions. The book’s self-contained chapters also make it suitable for independent study as well as for courses in applied disciplines.

Mathematical Foundations of Quantum Mechanics

Author : John von Neumann
Publisher : Princeton University Press
Page : 462 pages
File Size : 15,76 MB
Release : 1955
Category : Mathematics
ISBN : 9780691028934

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A revolutionary book that for the first time provided a rigorous mathematical framework for quantum mechanics. -- Google books

Quantum Mechanics for Mathematicians

Author : Leon Armenovich Takhtadzhi͡an
Publisher : American Mathematical Soc.
Page : 410 pages
File Size : 19,61 MB
Release : 2008
Category : Mathematics
ISBN : 0821846302

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Presents a comprehensive treatment of quantum mechanics from a mathematics perspective. Including traditional topics, like classical mechanics, mathematical foundations of quantum mechanics, quantization, and the Schrodinger equation, this book gives a mathematical treatment of systems of identical particles with spin.

Mathematics of Classical and Quantum Physics

Author : Frederick W. Byron
Publisher : Courier Corporation
Page : 674 pages
File Size : 18,18 MB
Release : 2012-04-26
Category : Science
ISBN : 0486135063

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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.

The Principles of Quantum Mechanics

Author : Paul Adrien Maurice Dirac
Publisher : Oxford University Press
Page : 340 pages
File Size : 24,88 MB
Release : 1981
Category : Science
ISBN : 9780198520115

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The first edition of this work appeared in 1930, and its originality won it immediate recognition as a classic of modern physical theory. The fourth edition has been bought out to meet a continued demand. Some improvements have been made, the main one being the complete rewriting of the chapter on quantum electrodymanics, to bring in electron-pair creation. This makes it suitable as an introduction to recent works on quantum field theories.

Mathematical Concepts of Quantum Mechanics

Author : Stephen J. Gustafson
Publisher : Springer Science & Business Media
Page : 380 pages
File Size : 44,36 MB
Release : 2011-09-24
Category : Mathematics
ISBN : 3642218660

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The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include many-body systems, modern perturbation theory, path integrals, the theory of resonances, quantum statistics, mean-field theory, second quantization, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. The last four chapters could also serve as an introductory course in quantum field theory.

The Mathematical Language of Quantum Theory

Author : Teiko Heinosaari
Publisher : Cambridge University Press
Page : 340 pages
File Size : 14,69 MB
Release : 2011-12-15
Category : Science
ISBN : 1139503995

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For almost every student of physics, the first course on quantum theory raises a lot of puzzling questions and creates a very uncertain picture of the quantum world. This book presents a clear and detailed exposition of the fundamental concepts of quantum theory: states, effects, observables, channels and instruments. It introduces several up-to-date topics, such as state discrimination, quantum tomography, measurement disturbance and entanglement distillation. A separate chapter is devoted to quantum entanglement. The theory is illustrated with numerous examples, reflecting recent developments in the field. The treatment emphasises quantum information, though its general approach makes it a useful resource for graduate students and researchers in all subfields of quantum theory. Focusing on mathematically precise formulations, the book summarises the relevant mathematics.

Quantum Mechanics and Quantum Field Theory

Author : Jonathan Dimock
Publisher : Cambridge University Press
Page : 239 pages
File Size : 26,94 MB
Release : 2011-02-03
Category : Science
ISBN : 1139497480

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Explaining the concepts of quantum mechanics and quantum field theory in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics, helping to prepare them for further studies in quantum physics. The textbook covers topics that are central to quantum physics: non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics and quantum field theory. There is also background material on analysis, classical mechanics, relativity and probability. Each topic is explored through a statement of basic principles followed by simple examples. Around 100 problems throughout the textbook help readers develop their understanding.

Lectures on Quantum Mechanics for Mathematics Students

Author : L. D. Faddeev
Publisher : American Mathematical Soc.
Page : 250 pages
File Size : 14,75 MB
Release : 2009
Category : Science
ISBN : 082184699X

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Describes the relation between classical and quantum mechanics. This book contains a discussion of problems related to group representation theory and to scattering theory. It intends to give a mathematically oriented student the opportunity to grasp the main points of quantum theory in a mathematical framework.