量子平均I：庞加莱-冯蔡佩尔是瑞利-薛定谔
Quantum Averaging I: Poincaré--von Zeipel is Rayleigh--Schrödinger
摘要：
对自伴算子构造了经典力学中平均法的精确模拟。它被证明是完全等价于通常的Rayleigh-薛定谔微扰理论，但给出了封闭形式的表达式中的中间态的总和。以非谐振子和Henon-Heiles系统为例说明了量子平均法。
英文摘要：
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--Schrödinger 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
