Mathematics of Complexity and Dynamical Systems

2011 Edition
| Editors: Robert A. Meyers (Editor-in-Chief)

Perturbation Theory in Quantum Mechanics

  • Luigi E. Picasso
  • Luciano Bracci
  • Emilio d'Emilio
Reference work entry

Article Outline


Definition of the Subject


Presentation of the Problem and an Example

Perturbation of Point Spectra: Nondegenerate Case

Perturbation of Point Spectra: Degenerate Case

The Brillouin–Wigner Method

Symmetry and Degeneracy

Problems with the Perturbation Series

Perturbation of the Continuous Spectrum

Time Dependent Perturbations

Future Directions



Wave Function Perturbation Theory Irreducible Representation Point Spectrum Asymptotic Series 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  • Luigi E. Picasso
    • 1
    • 2
  • Luciano Bracci
    • 1
    • 2
  • Emilio d'Emilio
    • 1
    • 2
  1. 1.Dipartimento di FisicaUniversità di PisaPisaItaly
  2. 2.Istituto Nazionale di Fisica NucleareSezione di PisaPisaItaly