English

Semiclassical approximation for a nonlinear oscillator with dissipation

Chaotic Dynamics 2009-11-10 v1

Abstract

An SS--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 SS--matrix. Analytical expressions for the braking time and the SS--matrix are obtained.

Keywords

Cite

@article{arxiv.nlin/0312019,
  title  = {Semiclassical approximation for a nonlinear oscillator with dissipation},
  author = {A. Iomin},
  journal= {arXiv preprint arXiv:nlin/0312019},
  year   = {2009}
}