Quantum mechanics in Hilbert space

Quantum mechanics in Hilbert space

by Prugovečki, Eduard

Type Book
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Title Statements

  • Full title :Quantum mechanics in Hilbert space / Eduard Prugove'cki.

Edition Statements

  • Publication Date:1981.
  • Edition:2d ed

Publication Statements

  • Publisher(s):Academic Press, Inc
  • Place of Publication:New York
  • Language:eng
  • Publication Date:1981.

The Physical Object

  • Description:xxi, 685 pages ; : 24 cm

Edition Identifiers

  • ISBN:012566060X, 9780125660600
  • oclc:ocn422239784
  • LC Classification:QA3P87V.92
  • Dewey Decimal:530.12

Table of Contents

Basic ideas of Hilbert space theory -- Vector spaces -- Euclidean (Pre-Hilbert) spaces -- Metric spaces -- Hilbert space -- Wave mechanics of a single particle moving in one dimension -- Measure theory and Hilbert spaces of functions -- Measurable spaces -- Measures and measure spaces -- Measurable and integrable functions -- Spaces of square-integrable functions -- The Hilbert space of systems of n different particles in wave mecnanics -- Direct sums and tensor products of Hilbert spaces -- The two-body bound-state problem witn a spherically symmetric potential -- Theory of Linear operators in Hilbert spaces -- Linear and antilinear operators on Euclidean spaces -- Linear operators in Hilbert spaces -- Orthogonal projection operators -- Isometric and unitary transformations -- Spectral measures -- The spectral theorem for unitary and self-adjoint operarors -- The Axiomatic structure of quantum mechanics -- Basic concepts in the quantum theory of measurement -- Functions of compatible observables -- The Schroedinger, Heisenberg, and interaction pictures -- State vectors and observables of compound systems -- Complete sets of observables -- Canomical commutation relations -- The ge…

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