Stochastic quantization of time-dependent systems by the Haba and Kleinert method

被引：2

作者：

Haas, F ^{[1
]}

机构：

[1] Univ Vale Rio dos Sinos, BR-93022000 Sao Leopoldo, RS, Brazil

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2005年 / 44卷 / 01期

关键词：

stochastic quantization; time-dependent harmonic oscillator; Schrodinger equation; classical simulation of quantum systems;

D O I：

10.1007/s10773-005-1429-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The stochastic quantization method recently developed by Haba and Kleinert is extended to non-autonomous mechanical systems, in the case of the time-dependent harmonic oscillator. In comparison with the autonomous case, the quantization procedure involves the solution of a nonlinear, auxiliary equation. Using a rescaling transformation, the Schrodinger equation for the time-dependent harmonic oscillator is obtained after averaging of a classical stochastic differential equation.

引用

页码：1 / 9

页数：9

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