L2series solutions of the Dirac equation for power-law potentials at rest mass energy

DOI10.1088/0305-4470/37/46/009zbMath1067.81019arXivmath-ph/0406012OpenAlexW3103291291MaRDI QIDQ4660403

A. D. Alhaidari

Publication date: 21 March 2005

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

Full work available at URL: https://arxiv.org/abs/math-ph/0406012

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) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

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SOLUTION OF THE DIRAC EQUATION WITH NONCENTRAL THREE-VECTOR POTENTIAL ⋮ The quadratic plus the tensor potentials for particle with 1/2-spin via L ² method under the spin symmetry

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