The Mathematical Principles of Quantum Mechanics

The Mathematical Principles of Quantum Mechanics

Author: Derek F. Lawden

Publisher: Courier Corporation

Published: 2005-01-01

Total Pages: 306

ISBN-13: 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

Principles of Quantum Mechanics

Author: R. Shankar

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 676

ISBN-13: 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

Mathematical Foundations of Quantum Mechanics

Author: John von Neumann

Publisher: Princeton University Press

Published: 1955

Total Pages: 462

ISBN-13: 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

Quantum Mechanics for Mathematicians

Author: Leon Armenovich Takhtadzhi͡an

Publisher: American Mathematical Soc.

Published: 2008

Total Pages: 410

ISBN-13: 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.


Lectures on Quantum Mechanics for Mathematics Students

Lectures on Quantum Mechanics for Mathematics Students

Author: L. D. Faddeev

Publisher: American Mathematical Soc.

Published: 2009

Total Pages: 250

ISBN-13: 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.


Mathematics of Classical and Quantum Physics

Mathematics of Classical and Quantum Physics

Author: Frederick W. Byron

Publisher: Courier Corporation

Published: 2012-04-26

Total Pages: 674

ISBN-13: 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

The Principles of Quantum Mechanics

Author: Paul Adrien Maurice Dirac

Publisher: Oxford University Press

Published: 1981

Total Pages: 340

ISBN-13: 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.


Quantum Mechanics and Quantum Field Theory

Quantum Mechanics and Quantum Field Theory

Author: Jonathan Dimock

Publisher: Cambridge University Press

Published: 2011-02-03

Total Pages: 239

ISBN-13: 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.


Principles of Quantum Mechanics

Principles of Quantum Mechanics

Author: Donald D. Fitts

Publisher: Cambridge University Press

Published: 1999-08-26

Total Pages: 366

ISBN-13: 0521651247

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This text presents a rigorous mathematical account of the principles of quantum mechanics, in particular as applied to chemistry and chemical physics. Applications are used as illustrations of the basic theory. The first two chapters serve as an introduction to quantum theory, although it is assumed that the reader has been exposed to elementary quantum mechanics as part of an undergraduate physical chemistry or atomic physics course. Following a discussion of wave motion leading to Schrödinger's wave mechanics, the postulates of quantum mechanics are presented along with essential mathematical concepts and techniques. The postulates are rigorously applied to the harmonic oscillator, angular momentum, the hydrogen atom, the variation method, perturbation theory, and nuclear motion. Modern theoretical concepts such as hermitian operators, Hilbert space, Dirac notation, and ladder operators are introduced and used throughout. This text is appropriate for beginning graduate students in chemistry, chemical physics, molecular physics and materials science.


Mathematical Foundations of Quantum Mechanics

Mathematical Foundations of Quantum Mechanics

Author: George W. Mackey

Publisher: Courier Corporation

Published: 2013-12-31

Total Pages: 162

ISBN-13: 0486154475

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This graduate-level text introduces fundamentals of classical mechanics; surveys basics of quantum mechanics; and concludes with a look at group theory and quantum mechanics of the atom. 1963 edition.