Nonlinear Langevin equations with colored noise and their (harmonic) oscillator representations
- 1 July 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 28 (1) , 474-476
- https://doi.org/10.1103/physreva.28.474
Abstract
A simple yet powerful method of obtaining averaged solutions to nonlinear Langevin equations with colored noise is presented. It takes advantage of the intimate relationship between an Ornstein-Uhlenbeck process and a quantum harmonic oscillator. Pertinent results for quadratic nonlinearity are easily obtained, and several applications are given, including noise-induced instability, one-photon ionization in an intense laser field, and the use of Bender-Wu results for anharmonic noise.Keywords
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