Solution of the Dirac equation in the field of a magnetic monopole

DOI10.1063/1.532028zbMath0879.35129OpenAlexW2064928997MaRDI QIDQ4345151

L. C. Cortés-Cuautli, Gerardo F. Torres del Castillo

Publication date: 17 July 1997

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

Full work available at URL: https://doi.org/10.1063/1.532028

zbMATH Keywords

Dirac equationbound statesCoulomb potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40)

Related Items (9)

DIRAC OSCILLATORS AND QUASI-EXACTLY SOLVABLE OPERATORS ⋮ Evaluation of the bound states of a quantum system via the differential quadrature method: extended to coupled differential equations ⋮ An integrable model of a planar tri-atomic molecule ⋮ Dirac equation with anisotropic oscillator, quantum E3′ and Holt superintegrable potentials and relativistic generalized Yang–Coulomb monopole system ⋮ Quasi-exact solvability of Dirac equation with Lorentz scalar potential ⋮ Some first excited energy levels for the generalized Killingbeck potential with the differential quadratic method ⋮ Instability of near-extremal black holes in \( \mathcal{N}=2 \), \(d\)=4 supergravity ⋮ Jacobi’s principle for magnetic interactions ⋮ Dynamical symmetry group and quantum splittings for a free particle on the group manifold AdS3

Cites Work

• The relationship between monopole harmonics and spin-weighted spherical harmonics
• Relativistic analogy of the Aharonov-Bohm effect in the presence of Coulomb field and magnetic charge
• Eigenfunctions of the curl operator in spherical coordinates
• Exact solution of the Dirac equation for a Coulomb and scalar potential in the presence of an Aharonov–Bohm and a magnetic monopole fields
• Spin-s Spherical Harmonics and ð

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