求高斯路径积分的一种新方法

Physica Pub Date : 1974-10-15 DOI:10.1016/0031-8914(74)90268-7

M.J. Goovaerts

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引用次数: 6

摘要

给出了一种计算频率随时间变化Ω(t)的谐振子的路径积分的新方法，该路径积分受随时间变化的摄动力的作用。本方法的优点在于，该路径积分的解析表达式可以立即展开为对应Schrödinger方程的特征函数的级数。

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A new method for evaluating Gaussian path integrals

A new method for evaluating the path integral corresponding to the harmonic oscillator with time-dependent frequency Ω(t) and acted on by a time-dependent perturbative force is given. The advantage of the present method consists in the fact that our analytical expression for this path integral can immediately be expanded as a series in the eigenfunctions of the corresponding Schrödinger equation.

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Physica

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