Supersymmetry and bistable soft potentials

Journal Article · Mon Sep 05 04:00:00 EDT 1988 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.61.1143· OSTI ID:6852119

Marchesoni, F; Sodano, P; Zannetti, M

The diffusion of a Brownian particle is investigated for a class of potentials (soft bistable) which resist conventional techniques. A new method of solution based on supersymmetric quantum mechanics is shown to provide with minimal effort an accurate determination of the small eigenvalue of the relevant Fokker-Planck equation. The reciprocal of the small eigenvalue compares very closely with a refined definition of mean first-passage time.

• Research Organization: Department of Physics, Boston University, Boston, Massachusetts 02215
• OSTI ID: 6852119
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 61:10; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BROWNIAN MOVEMENT
DIFFERENTIAL EQUATIONS
EIGENVALUES
EQUATIONS
FOKKER-PLANCK EQUATION
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
QUANTUM MECHANICS
SUPERSYMMETRY
SYMMETRY
TRANSPORT THEORY