Generalized master function approach to one-dimensional quasiexactly solvable models

DOI10.1063/1.1286879zbMath0971.81171arXivmath-ph/0005016OpenAlexW2038631915MaRDI QIDQ2738280

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Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/math-ph/0005016

zbMATH Keywords

factorization propertiessolutions of polynomial type

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Explicit solutions, first integrals of ordinary differential equations (34A05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Cites Work

• Quantal problems with partial algebraization of the spectrum
• Parasupersymmetry and shape invariance in differential equations of mathematical physics and quantum mechanics
• Quasi-exactly-solvable problems and sl(2) algebra
• Calculation of the determinant of shape invariant operators.
• Quasi-exactly solvable systems and orthogonal polynomials

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