Hypergeometric type operators and their supersymmetric partners

DOI10.1063/1.3582829zbMath1317.81136arXiv1004.1496OpenAlexW1995056753MaRDI QIDQ5265976

Liviu Adrian Cotfas, Nicolae Cotfas

Publication date: 29 July 2015

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

Full work available at URL: https://arxiv.org/abs/1004.1496

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Supersymmetry and quantum mechanics (81Q60) Special quantum systems, such as solvable systems (81Q80)

Related Items (1)

A reducible Weil representation of sp(4) realized by differential operators in the space of smooth functions on H2 × S1

Cites Work

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• Factorization method in quantum mechanics
• Parasupersymmetry and shape invariance in differential equations of mathematical physics and quantum mechanics
• Factorization method and new potentials with the oscillator spectrum
• Supersymmetric partners of the trigonometric Pöschl–Teller potentials
• Shape invariance, raising and lowering operators in hypergeometric type equations
• Factorization: little or great algorithm?
• The Factorization Method

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