On quasi-exact solvability of the Schrödinger equation for a free particle on the surface of a spindle torus

DOI10.1007/S10702-005-6118-9zbMath1085.81040OpenAlexW2051164719MaRDI QIDQ816168

Axel Schulze-Halberg

Publication date: 20 February 2006

Published in: Foundations of Physics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10702-005-6118-9

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Partial differential equations on manifolds; differential operators (58J99)

Cites Work

• Non-existence of Liouvillian solutions for a free quantum particle on a torus surface. I: Polar states
• CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS
• EXACT WAVE FUNCTIONS AND ENERGIES OF A NON-RELATIVISTIC FREE QUANTUM PARTICLE ON THE SURFACE OF A DEGENERATE TORUS

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