Generalized Schwinger duality in bound state theory

DOI10.1063/1.530091zbMath0777.34058OpenAlexW1974547440MaRDI QIDQ3136639

S. C. Chhajlany

Publication date: 21 October 1993

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

Full work available at URL: https://doi.org/10.1063/1.530091

zbMATH Keywords

generatornonlinear coordinate transformationsbound state theoryexactly solvable bound state problemgeneralized Schwinger dualitynonterminable sequence of partially exactly solvable problemsparabolic Schwinger transformation

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)

Related Items (1)

An analytic estimate of the number of bound states in the Lennard-Jones potentials

Cites Work

• A class of exactly solvable potentials. I: One-dimensional Schrödinger equation
• The accidental degeneracy problem in nonrelativistic quantum mechanics
• The energy levels of the sextic double-well potential
• The Schrodinger equation for the x²+λx²/(1+gx²) interaction
• A Rodrigues formula approach to determining closed-form solutions to the Schrödinger equation for symmetric anharmonic oscillators
• Energy spectrum of the potential V=ax²+x⁴
• On the Problem of Degeneracy in Quantum Mechanics

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