Isospectral deformation of some shape invariant potentials

DOI10.1063/1.533159zbMath1044.81128OpenAlexW1973876358MaRDI QIDQ2737845

A. R. Esfandyari, H. Panahi-Talemi, Mohammad Ali Jafarizadeh

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533159

zbMATH Keywords

Rosen-Morsecontinuous eigenspectrumdeformed Rosen-MorseDirac delta termdiscrete and continuous eigenspectrumdiscrete eigenspectrumNatanzonpenetrationless propertyreflectionless property

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) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (2)

Two and three dimensional Hamiltonians with generalized and ordinary shape invariance symmetry ⋮ Two- and three-dimensional Hamiltonians with shape invariance symmetry

Cites Work

• Parasupersymmetry and shape invariance in differential equations of mathematical physics and quantum mechanics
• Calculation of the determinant of shape invariant operators.

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