Exact solution to Fick-Jacobs equation

Abstract

A relation between Fick-Jacobs and Schrödinger equation is shown. When the diffusion coefficient is constant, exact solutions for Fick-Jacobs equation are obtained. Using a change of variable the general case is studied.

13 pages, no figures. Some mistakes were corrected

References in corpus (2)

• Kinetic Equations for Diffusion in the Presence of Entropic Barriers
• The Black-Scholes Equation and Certain Quantum Hamiltonians

Cited by in corpus (1)

• From dynamical scaling to local scale-invariance: a tutorial