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Mathematical Foundations of Quantum Mechanics (Dover Books on Mathematics)

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Mathematical Foundations of Quantum Mechanics (Dover Books on Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

Designed for students familiar with abstract mathematical concepts but possessing little knowledge of physics, this text focuses on generality and careful formulation rather than problem-solving. Its author, a member of the distinguished National Academy of Science, based this graduate-level text on the course he taught at Harvard University.

Opening chapters on classical mechanics examine the laws of particle mechanics; generalized coordinates and differentiable manifolds; oscillations, waves, and Hilbert space; and statistical mechanics. A survey of quantum mechanics covers the old quantum theory; the quantum-mechanical substitute for phase space; quantum dynamics and the Schrödinger equation; the canonical "quantization" of a classical system; some elementary examples and original discoveries by Schrödinger and Heisenberg; generalized coordinates; linear systems and the quantization of the electromagnetic field; and quantum-statistical mechanics.

The final section on group theory and quantum mechanics of the atom explores basic notions in the theory of group representations; perturbations and the group theoretical classification of eigenvalues; spherical symmetry and spin; and the n-electron atom and the Pauli exclusion principle.

Book News Annotation:

<:st> Written for students familiar with abstract mathematical concepts but possessing little knowledge of physics, this text focuses on careful formulation rather than problem-solving. All physical concepts used are defined in mathematical terms and in basic terms of space and time. This is an unabridged republication of the edition published by W. A. Benjamin, Inc., New York, 1963. A previous edition of the book was cited in Books for College Libraries, 3d ed.
Annotation 2004 Book News, Inc., Portland, OR (booknews.com)

Synopsis:

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.

Synopsis:

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.

Table of Contents

1. Classical Mechanics.

2. Quantum Mechanics.

3. Group Theory and the Quantum Mechanics of the Atom.

Appendix.

Product Details

ISBN:
9780486435176
Author:
Mackey, George Whitelaw
Publisher:
Dover Publications
Author:
eorge W.
Author:
Mackey, G
Author:
Physics
Author:
Mackey, George W.
Location:
Mineola, N.Y.
Subject:
Mathematical Analysis
Subject:
Quantum Theory
Subject:
Mathematical Physics
Subject:
Physics-Quantum Mechanics
Edition Description:
Trade Paper
Series:
Dover Books on Physics
Series Volume:
no. 03-12
Publication Date:
20040131
Binding:
TRADE PAPER
Language:
English
Illustrations:
3 b&w figures + 1 table
Pages:
160
Dimensions:
9.25 x 6.13 in 0.64 lb

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Related Subjects

History and Social Science » Archaeology » General
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Physics » General
Science and Mathematics » Physics » Quantum Mechanics

Mathematical Foundations of Quantum Mechanics (Dover Books on Mathematics) New Trade Paper
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Product details 160 pages Dover Publications - English 9780486435176 Reviews:
"Synopsis" by ,
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.
"Synopsis" by ,
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.
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