Semiclassical approximation for bound states of the Schrödinger equation with a Coulomb-like potential

DOI10.1063/1.530609zbMath0799.34084OpenAlexW2057345215MaRDI QIDQ4298623

Peter N. Zhevandrov

Publication date: 9 August 1994

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

Full work available at URL: https://doi.org/10.1063/1.530609

zbMATH Keywords

eigenvalue problemeigenfunctionsasymptotic expansionsturning pointCoulomb potentialuniform asymptoticsradial Schrödinger equationinverse Fourier transforms

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) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)

Related Items (2)

Coherent transform of the spectral problem and algebras with nonlinear commutation relations. ⋮ Representation of exact and semiclassical eigenfunctions via coherent states. The hydrogen atom in a magnetic field

Cites Work

• Second-order linear differential equations with two turning points

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