Exactly solvable energy-dependent potentials

DOI10.1016/J.PHYSLETA.2009.08.012zbMath1233.81020OpenAlexW2031641881MaRDI QIDQ665402

Juan-Miguel Gracia

Publication date: 5 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.08.012

zbMATH Keywords

Schrödinger equationconfluent hypergeometric equationhypergeometric equationenergy-dependent potentials

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

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Cites Work

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• The many-body problem with an energy-dependent confining potential
• The relativistic two-body potentials of constraint theory from summation of Feynman diagrams
• The scalar product in two-particle relativistic quantum mechanics
• On one-dimensional Schrödinger problems allowing polynomial solutions
• The two-fermion relativistic wave equations of constraint theory in the Pauli–Schrödinger form
• Velocity dependent nuclear forces and their effect in nuclear matter

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