How to solve Fokker-Planck equation treating mixed eigenvalue spectrum?

• DOI: 10.5488/cmp.16.13002
• Publication Date: 2013-03-15T17:14:35Z
• Authors: Brics; Kaupuzs; Mahnke
• Keywords: Constant (computer programming); Planck Constant

An analogy of the Fokker-Planck equation (FPE) with Schrödinger allows us to use quantum mechanics technique find analytical solution FPE in a number cases.However, previous studies have been limited potential discrete eigenvalue spectrum.Here, we will show how this approach can be also applied mixed spectrum bounded and free states.We solve boundaries located at x = ±L/2 take limit L → ∞, considering examples constant Pöschl-Teller potential.An oversimplified was proposed earlier by M.T. Araujo E. Drigo Filho.A detailed investigation two shows that correct solution, obtained paper, is consistent expected dynamics.