Staggered ladder spectra |
| |
Authors: | Arvedson E Wilkinson M Mehlig B Nakamura K |
| |
Institution: | Department of Physics, G?teborg University, 41296 Gothenburg, Sweden. |
| |
Abstract: | We exactly solve a Fokker-Planck equation by determining its eigenvalues and eigenfunctions: we construct nonlinear second-order differential operators which act as raising and lowering operators, generating ladder spectra for the odd- and even-parity states. The ladders are staggered: the odd-even separation differs from even-odd. The Fokker-Planck equation corresponds, in the limit of weak damping, to a generalized Ornstein-Uhlenbeck process where the random force depends upon position as well as time. The process describes damped stochastic acceleration, and exhibits anomalous diffusion at short times and a stationary non-Maxwellian momentum distribution. |
| |
Keywords: | |
本文献已被 PubMed 等数据库收录! |
|