Darboux transformation and exactly solvable potentials with quasi-equidistant spectrum

DOI10.1007/BF00559274zbMath0942.34073MaRDI QIDQ1968898

I. N. Ovcharov, Boris F. Samsonov

Publication date: 21 August 2000

Published in: Russian Physics Journal (Search for Journal in Brave)

zbMATH Keywords

Darboux transformationone-dimensional Schrödinger equationharmonic-oscillator potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Explicit solutions, first integrals of ordinary differential equations (34A05) (2)-body potential quantum scattering theory (81U05)

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Cites Work

• The Darboux transformation and solvable double-well potential models for Schrödinger equations
• A class of exactly solvable potentials related to the Jacobi polynomials
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