QUANTUM AVERAGING .1. POINCARE-VON ZEIPEL IS RAYLEIGH-SCHRODINGER

Authors
SCHERER W
Citation
W. Scherer, QUANTUM AVERAGING .1. POINCARE-VON ZEIPEL IS RAYLEIGH-SCHRODINGER, Journal of physics. A, mathematical and general, 27(24), 1994, pp. 8231-8246
Citations number
27
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
24
Year of publication
1994
Pages
8231 - 8246
Database
ISI
SICI code
0305-4470(1994)27:24<8231:QA.PZI>2.0.ZU;2-4
Abstract
An exact analogue of the method of averaging in classical mechanics is constructed for self-adjoint operators. It is shown to be completely equivalent to the usual Rayleigh-Schrodinger perturbation theory but g ives the sums over intermediate states in closed-form expressions. The anharmonic oscillator and the Henon-Heiles system are treated as exam ples to illustrate the quantum averaging method.