Diffuse Double-harmonic oscillator

Abstract The behavior description of diffuse system, linear and nonlinear, can be treated through Fokker-Planck equation. This equation has shown great interesting of researchers for its good adaptation to different systems, classical and quantum. In this work we use the Fokker-Planck to find the total probabilities of diffuse bistable potential under action of a external electric field. The system solutions show that there is two wave functions, one symmetrical and another anti-symmetrical and when the electric field is applied all energy levels are degenerate. It is observed that the application of external electric field entails in a decrease of temperature of the system and, consequently, shorter time to reach equilibrium.