Semiclassical approximation for a nonlinear oscillator with dissipation.
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. An analytical expression for the breaking time, which is the Ehrenfest time for the dissipative system, is obtained. A correlation function of the S-matrix elements is studied as well.
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Department of Physics, Technion, Haifa 32000, Israel.