Exactly solvable hydrogen-like potentials and the factorization method

DOI10.1088/0305-4470/31/50/012zbMath0934.34074arXivquant-ph/9806020OpenAlexW2033900703MaRDI QIDQ4259814

J. Oscar Rosas-Ortiz

Publication date: 9 April 2000

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

Full work available at URL: https://arxiv.org/abs/quant-ph/9806020

zbMATH Keywords

intertwining operatorSchrödinger equationfactorization methodRiccati differential equationhydrogen-like potentialone-dimensional radial Hamiltonian

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) General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

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