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Mathematical Concepts of Quantum Mechanics /

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The book gives a streamlined introduction to quantum mechanics, while describing the basic mathematical structures underpinning this discipline. Starting with an overview of the key physical experiments illustrating the origin of the physical foundations, the book proceeds to a description of the ba...

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Bibliographic Details
Main Author: Gustafson, Stephen J.
Corporate Author: SpringerLink (Online service)
Other Authors: Sigal, Israel Michael
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2003.
Series:Universitext,
Subjects:
Mathematics.
Functional analysis.
Quantum theory.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Physical background
  • Mathematical detour: operator theory
  • Dynamics
  • Mathematical detour: the Fourier transform
  • Observables
  • The uncertainty principle
  • Spectral theory
  • Scattering states
  • Special cases
  • Many-particle systems
  • Density matrices
  • The Feynman path integral
  • Mathematical detour: the calculus of variations
  • Mathematical detours: the stationary phase method and operator determinants
  • Quasi-classical analysis.-Resonances
  • Introduction to quantum field theory
  • Quantum electrodynamics of non-relativistic particles: the theory of radiation
  • Supplement: renormalization group.-Comments on missing topics, literature, and further reading.