Non-existence of Liouvillian solutions for a free quantum particle on a torus surface. I: Polar states

DOI10.1007/s10702-004-1121-0zbMath1059.81051OpenAlexW1992590910MaRDI QIDQ1768580

Axel Schulze-Halberg

Publication date: 15 March 2005

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

Full work available at URL: https://doi.org/10.1007/s10702-004-1121-0

zbMATH Keywords

Schrödinger equationLiouvillian solutiontorus surface

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (1)

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

Cites Work

• An algorithm for solving second order linear homogeneous differential equations
• Kovacic's algorithm and its application to some families of special functions
• Liouvillian and algebraic solutions of second and third order linear differential equations
• Necessary conditions for Liouvillian solutions of (third order) linear differential equations
• Sur la non-intégrabilité du problème plan des trois corps de masses égales
• CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS

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