rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Topics in Quantum Mechanics
  name:
    name part: Williams, Floyd.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: mau
    date issued: 2003
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (480 pages 20 illustrations)
  abstract: 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 Schr"dinger 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 Schr"dinger 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 of so-called pure mathematics, including number theory, to various problems arising in.
  note: by Floyd Williams.
  note: Electronic resource.
  subject:
    topic: Quantum theory
  subject:
    topic: Mathematical physics
  subject:
    topic: Mathematical physics
  subject:
    topic: Quantum theory
  classification: QC174.12
  classification: 530.12
  related item:
    title info:
      title: Progress in mathematical physics ; 27
  identifier: 9781461200093 (electronic bk.)
  identifier: 1461200091 (electronic bk.)
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: I9W
    record creation date: 121227
    record change date: 20260422153147.2
    record identifier: in00003546173
    language of cataloging:
      language term: eng