Foundations of Physics Letters

, Volume 18, Issue 3, pp 291–300 | Cite as

On Quasi-Exact Solvability of the Schrödinger Equation for a Free Particle on the Surface of a Spindle Torus

  • Axel Schulze-Halberg


We show that the Schrödinger equation for a free particle on the surface of a spindle torus is quasi-exactly solvable. Our result complements former ones in an interesting way: it is known that the Schrödinger equation for a free particle on a ring torus is non-solvable, whereas it is exactly solvable for a particle on a horn torus.

Key words:

Schrödinger equation quasi-exact solvability free particle spindle torus 


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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Department of MathematicsSwiss Federal Institute of Technology Zurich (ETH)ZürichSwitzerland

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