Quantum Averaging I: Poincaré--von Zeipel is Rayleigh--Schrödinger

Details Quantum Averaging I: Poincaré--von Zeipel is Rayleigh--Schrödinger Quantum Averaging I: Poincaré--von Zeipel is Rayleigh--Schrödinger

1994-12-30

arxiv.org/abs/quant-ph/9412010v1

J.Phys. A27 (1994) 8231-8246

Physics

Quantum Physics

12 pages, LaTeX, to appear in Journ. Phys. A

Scientific paper

10.1088/0305-4470/27/24/028

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.

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