Closedform solutions of the Schrödinger equation for a particle on the torus
Abstract
Two results on the Schrödinger equation for a particle on the surface of a torus are obtained: In the first part of this note closedform zeroenergy solutions for a free particle are given. In the second part we show for which potentials depending only on the polar angle the Schrodinger equation becomes exactly solvable.
 Publication:

Foundations of Physics Letters
 Pub Date:
 December 2002
 DOI:
 10.1023/A:1023941905067
 Bibcode:
 2002FoPhL..15..585S
 Keywords:

 Schr&ouml;
 dinger equation;
 zeroenergy solution;
 torus