English

Stochastic Quantization of the Time-Dependent Harmonic Oscillator

Quantum Physics 2007-05-23 v1

Abstract

We extend the stochastic quantization method recently developed by Haba and Kleinert 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.

Keywords

Cite

@article{arxiv.quant-ph/0406062,
  title  = {Stochastic Quantization of the Time-Dependent Harmonic Oscillator},
  author = {F. Haas},
  journal= {arXiv preprint arXiv:quant-ph/0406062},
  year   = {2007}
}