Topics in Quantum Mechanics (Hardcover, 2003 ed.)

The theories of quantum fields and strings have had a fruitful impact on certain exciting developments in mathematics and have sparked mathematicians' interest in further understanding some of the basic elements of these grand physical theories. This self-contained text presents quantum mechanics from the point of view of some computational examples with a mixture of mathematical clarity often not found in texts offering only a purely physical point of view. Emphasis is placed on the systematic application of the Nikiforov--Uvarov theory of generalized hypergeometric differential equations to solve the SchrAdinger equation and to obtain the quantization of energies from a single unified point of view. This theory is developed and is also used to give a uniform approach to the theory of special functions. Additional key features: * Considerable material is devoted to the foundations of classical mechanics using conventional mathematical terminology * The first 10 chapters of Part I cover Planck and SchrAdinger quantization, Pauli's spin functions, and an introduction to multielectron atoms * Part II treats such topics as Feynman path integrals, quantum statistical partition functions, high and low temperature asymptotics of quantum fields of over a negatively curved space-time * Selected special topics involve some applications of the theory of automorphic forms, zeta functions, the Jacobi inversion formula, spherical harmonic analysis and the Selberg trace formula * Excellent bibliography and index. Communication between physicists and mathematicians requires continual bridges to eliminate the divide. This monograph furthers that goal in presenting some new and exciting applications ofso-called pure mathematics, including number theory, to various problems arising in physics. An excellent resource for classroom or self-study.

General

Imprint:	Birkhauser Boston
Country of origin:	United States
Series:	Progress in Mathematical Physics, 27
Release date:	2003
First published:	2003
Authors:	Floyd Williams
Dimensions:	235 x 155 x 31mm (L x W x T)
Format:	Hardcover
Pages:	398
Edition:	2003 ed.
ISBN-13:	978-0-8176-4311-9
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
LSN:	0-8176-4311-7
Barcode:	9780817643119

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