Perturbed harmonic oscillator ladder operators: eigenenergies and eigenfunctions for the X2+ λX2/(1+gX2) interaction

DOI10.1088/0305-4470/16/3/010zbMath0531.34020OpenAlexW1981561367MaRDI QIDQ3312536

G. Bessis, G. Hadinger, Nik Bessis

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/10.1088/0305-4470/16/3/010

zbMATH Keywords

eigenvalueseigenfunctionsHermite polynomialsfactorization problemmethod of perturbed ladder operatorsperturbed harmonic oscillator wave equationSchrödinger potential

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Ordinary differential operators (34L99)

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