Exactly solvable models in supersymmetric quantum mechanics and connection with spectrum-generating algebras

DOI10.1007/BF02557323zbMath0991.81033arXivhep-th/9810074MaRDI QIDQ1567787

Constantin Rasinariu, Uday P. Sukhatme, Jeffry V. Mallow, Asim Gangopadhyaya

Publication date: 26 June 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9810074

zbMATH Keywords

eigenvalueseigenfunctionssupersymmetric quantum mechanicsgroup theory methodnonlinear extensions of Lie algebrasnonrelativistic shape-invariant Hamiltoniansspectrum-generating algebras

Mathematics Subject Classification ID

Exactly and quasi-solvable systems arising in quantum theory (81U15) Supersymmetry and quantum mechanics (81Q60)

Related Items (5)

Applications of the worldline Monte Carlo formalism in quantum mechanics ⋮ The supersymmetric WKB formalism is not exact for all additive shape invariant potentials ⋮ Comment on ``Supersymmetry and singular potentials by Das and Pernice ⋮ Approximate solutions of Klein-Gordon equation with Kratzer potential ⋮ Exactness of semiclassical quantization rule for broken supersymmetry

Cites Work

• Unnamed Item
• Group theory approach to scattering
• General properties of potentials for which the Schrödinger equation can be solved by means of hypergeometric functions
• Potentials with two shifted sets of equally spaced eigenvalues and their Calogero spectrum.
• The infinite-dimensional dressing dynamical system
• The Factorization Method

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