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arxiv: quant-ph/0406062 · v1 · submitted 2004-06-09 · 🪐 quant-ph

Stochastic Quantization of the Time-Dependent Harmonic Oscillator

classification 🪐 quant-ph
keywords quantizationcaseharmonicoscillatorstochastictime-dependentautonomousauxiliary
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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.

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