Mathematical Concepts of Quantum Mechanics by Stephen J. Gustafson, Israel Michael Sigal.

Mathematical Concepts of Quantum Mechanics

Show other versions (1)

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

Full description

Saved in:
Bibliographic Details
Main Author: Gustafson, Stephen J.
Corporate Author: SpringerLink (Online service)
Other Authors: Sigal, Israel Michael, 1945-
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
Series:Universitext.
Subjects:
Mathematics.
Functional analysis.
Quantum theory.
Online Access: Full text (Wentworth users only).
Table of Contents:
  • 1 Physical Background
  • 2 Dynamics
  • 3 Observables
  • 4 Quantization
  • 5 Uncertainty Principle and Stability of Atoms and Molecules
  • 6 Spectrum and Dynamics
  • 7 Special Cases
  • 8 Bound States and Variational Principle
  • 9 Scattering States
  • Existence of Atoms and Molecules
  • 11 Perturbation Theory: Feshbach-Schur Method
  • 12 General Theory of Many-particle Systems
  • 13 Self-consistent Approximations
  • 14 The Feynman Path Integral
  • 15 Quasi-classical Analysis
  • 16 Resonances
  • 17 Quantum Statistics
  • 18 The Second Quantization
  • 19 Quantum Electro-Magnetic Field – Photons
  • 20 Standard Model of Non-relativistic Matter and Radiation
  • 21 Theory of Radiation
  • 22 Renormalization Group
  • 23 Mathematical Supplement: Spectral Analysis
  • 24 Mathematical Supplement: The Calculus of Variations
  • 25 Comments on Literature, and Further Reading
  • References
  • Index.

Similar Items