A general approach of quasi-exactly solvable Schrödinger equations

DOI10.1006/APHY.2002.6260zbMath1005.81021arXivquant-ph/0201100OpenAlexW2033874260MaRDI QIDQ699069

J. Ndimubandi, B. Van den Bossche, Nathalie Debergh

Publication date: 1 October 2002

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0201100

zbMATH Keywords

Lamé potentialscreened Coulomb potentialanalytic eigenfunctionsgeneralized sextic oscillatorone-dimensional stationary Schrödinger Hamiltonians

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Related Items (2)

Step operators for the quasi-exactly solvable systems ⋮ A GENERAL APPROACH OF QUASI-EXACTLY SOLVABLE SCHRÖDINGER EQUATIONS WITH THREE KNOWN EIGENSTATES

Cites Work

• Dynamical breaking of supersymmetry
• Quasi-exactly-solvable problems and sl(2) algebra
• Quasi-exactly solvable potentials with two known eigenstates
• A general approach to potentials with two known levels
• ON A LIE ALGEBRAIC APPROACH OF QUASI-EXACTLY SOLVABLE POTENTIALS WITH TWO KNOWN EIGENSTATES
• Quasi-exactly solvable potentials with three known eigenstates
• The structure of quasi-exactly solvable systems
• A QES band-structure problem in one dimension
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