Effective Kratzer and Coulomb potentials as limit cases of a multiparameter exponential-type potential

DOI10.1016/J.PHYSLETA.2014.05.023zbMath1331.81097OpenAlexW2011073492MaRDI QIDQ5964294

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Publication date: 29 February 2016

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2014.05.023

zbMATH Keywords

hypergeometric functionconfluent hypergeometric functioneffective Coulomb potentialeffective Kratzer potentialexponential-type potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly and quasi-solvable systems arising in quantum theory (81U15) Applications of hypergeometric functions (33C90) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Cites Work

• A pseudoCoulombian potential in D=1 dimensional space
• The Hulthén potential in D-dimensions
• On the Coulomb and Hulthen Potentials

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