Angular-radial integrability of Coulomb-like potentials in Dirac equations

DOI10.1063/5.0055250zbMath1503.81023arXiv2110.10154OpenAlexW3209436090MaRDI QIDQ5015526

Luca Fabbri, Andre G. Campos

Publication date: 9 December 2021

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

Full work available at URL: https://arxiv.org/abs/2110.10154

zbMATH Keywords

Riccati equationpolar coordinates

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spinor and twistor methods applied to problems in quantum theory (81R25) Geometry and quantization, symplectic methods (81S10)

Cites Work

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• Discrete spectra for critical Dirac-Coulomb Hamiltonians
• Separation of variables and exact solution of the Klein–Gordon and Dirac equations in an open universe
• Classification of singular spinor fields and other mass dimension one fermions
• A generally relativistic gauge classification of the Dirac fields

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