Quantum Averaging I: Poincar\'e--von Zeipel is Rayleigh--Schr\"odinger
Quantum Physics
2009-10-28 v1
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--Schr\"odinger perturbation theory but gives the sums over intermediate states in closed form expressions. The anharmonic oscillator and the Henon--Heiles system are treated as examples to illustrate the quantum averaging method.
Cite
@article{arxiv.quant-ph/9412010,
title = {Quantum Averaging I: Poincar\'e--von Zeipel is Rayleigh--Schr\"odinger},
author = {Wolfgang Scherer},
journal= {arXiv preprint arXiv:quant-ph/9412010},
year = {2009}
}
Comments
12 pages, LaTeX, to appear in Journ. Phys. A