Abstract
Solutions to a new quantum-mechanical kinetic equation for excited states of a damped oscillator are obtained explicitly. The difference between the position probability distributions, which determine (in the new formulation of quantum mechanics) states of the damped oscillator within the framework of the Caldirola-Kanai model, the kinetic equation with a collision term, and the nonlinear Kostin equation, is analyzed.
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Translated from a manuscript submitted January 7, 1999.
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Man'ko, V.I., Safonov, S.S. Classical representation of a quantum damped oscillator—Comparison between the caldirola-kanai model, the kinetic equation, and the kostin equation. J Russ Laser Res 20, 119–130 (1999). https://doi.org/10.1007/BF02508688
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DOI: https://doi.org/10.1007/BF02508688