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Semiclassical approximation for a nonlinear oscillator with dissipation

A. Iomin
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Abstract

An $S$--matrix approach is developed for the chaotic dynamics of a nonlinear oscillator with dissipation. The quantum--classical crossover is studied in the framework of the semiclassical expansion for the $S$--matrix. Analytical expressions for the braking time and the $S$--matrix are obtained.

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A. Iomin. 2003-12-09. Semiclassical approximation for a nonlinear oscillator with dissipation. https://doi.org/10.1103/physreve.70.066209

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