Associated harmonic oscillator potential models for Schrodinger equations

DOI10.1088/0305-4470/16/1/013zbMath0511.34003OpenAlexW2004202565MaRDI QIDQ4750125

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Publication date: 1983

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

Full work available at URL: https://doi.org/10.1088/0305-4470/16/1/013

zbMATH Keywords

Schrödinger equationsDarboux transformationsparabolic cylinder functionsWeber equationinverted potentialspenetration problem

Mathematics Subject Classification ID

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) Quantum scattering theory (81U99)

Related Items (2)

Equidistant spectra of anharmonic oscillators ⋮ Exact solutions of a Fokker-Planck equation.

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