A Rodrigues formula approach to determining closed-form solutions to the Schrödinger equation for symmetric anharmonic oscillators

DOI10.1063/1.528459zbMath0662.34038OpenAlexW2062024322MaRDI QIDQ3810963

V. M. Gorringe, G. P. Flessas, Peter G. L. Leach

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528459

zbMATH Keywords

Schrödinger equationRodrigues formulaHermite polynomialssymmetric anharmonic potential

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (4)

On the elementary Schrödinger bound states and their multiplets ⋮ Properties of Leach–Flessas–Gorringe polynomials ⋮ Lower bounds for quartic anharmonic and double-well potentials ⋮ Generalized Schwinger duality in bound state theory

Cites Work

• Exact solutions of the Schrödinger equation for a class of three-dimensional isotropic anharmonic oscillators
• The Schrodinger equation for the x²+λx²/(1+gx²) interaction

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