The Dirac H-atom using the phase as an extra variable

DOI10.1088/1361-6404/AB9AFCOpenAlexW3035670458MaRDI QIDQ6046421

Rodolfo P. Martínez-y-Romero, H. N. Núñez-Yépez, A. L. Salas-Brito

Publication date: 11 May 2023

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

Full work available at URL: https://doi.org/10.1088/1361-6404/ab9afc

zbMATH Keywords

hydrogen atomrelativistic quantum mechanicsgroup theoryalgebraic methods

Mathematics Subject Classification ID

Partial differential equations (35-XX) Quantum theory (81-XX)

Cites Work

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• Some quantum optical states as realizations of Lie groups
• An operator solution for the hydrogen atom using the phase as an additional variable
• New non-unitary representations in a Dirac hydrogen atom
• Lewis-Riesenfeld quantization and SU(1, 1) coherent states for 2D damped harmonic oscillator
• Landau problem with time dependent mass in time dependent electric and harmonic background fields
• Nonunitary representations of the SU(2) algebra in the Dirac equation with a Coulomb potential

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