The driven oscillator, with friction
T.B.Smith
TL;DR
This paper extends the semi-classical theory of a driven harmonic oscillator by incorporating friction, enabling modeling of quantum expectations and probabilities with added damping effects.
Contribution
It introduces a semi-classical framework that includes Brownian damping, advancing the modeling of quantum systems with frictional forces.
Findings
The theory accounts for frictional damping in harmonic oscillators.
Examples demonstrate the application of the extended theory.
The approach can model quantum expectations with damping effects.
Abstract
This paper develops further the semi-classical theory of an harmonic oscillator acted on by a Gaussian white noise force discussed in (arXiv:1508.02379). Here I add to that theory the effects of Brownian damping (friction). Albeit semi-classical, the theory can be used to model quantum expectations and probabilities. I consider several examples.
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Taxonomy
TopicsAdvanced MEMS and NEMS Technologies