Author: Haas F.
Publisher: Springer Publishing Company
ISSN: 0020-7748
Source: International Journal of Theoretical Physics, Vol.44, Iss.5, 2005-05, pp. : 609-617
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
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 Schrödinger equation for the time-dependent harmonic oscillator is obtained after averaging of a classical stochastic differential equation.
Related content
Molecular interactions by the time-dependent Hartree method
By McLachlan A.D. Gregory R.D. Ball M.A.
Molecular Physics, Vol. 7, Iss. 2, 1964-01 ,pp. :