Semiclassical approximation for a nonlinear oscillator with dissipation

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.

References in corpus (3)

• Noiseless scattering states in a chaotic cavity
• Environmental effects in the quantum-classical transition for the delta-kicked harmonic oscillator
• Loschmidt echo for a chaotic oscillator