Exact solution of the Dirac equation for a spin-12 charged particle in two-dimensional and three-dimensional Euclidean spaces with shape invariance symmetry

DOI10.1063/1.1350635zbMath1016.81022OpenAlexW1994857728MaRDI QIDQ2774907

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Publication date: 26 February 2002

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

Full work available at URL: https://doi.org/10.1063/1.1350635

zbMATH Keywords

magnetic fieldssupersymmetry algebra

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Supersymmetry and quantum mechanics (81Q60)

Related Items (1)

Exact solution of the curved Dirac equation in polar coordinates: master function approach

Cites Work

• Dynamical breaking of supersymmetry
• Supersymmetry and the Dirac equation
• Parasupersymmetry and shape invariance in differential equations of mathematical physics and quantum mechanics
• Another bunch of superpotentials in terms of a master function
• Classical and quantum scattering on a spinning cone
• Supersymmetry and shape invariance in differential equations of mathematical physics.
• SUPERSYMMETRIC SOLUTION FOR TWO-DIMENSIONAL SCHRÖDINGER EQUATION
• On supersymmetric quantum mechanics in curved spaces
• New shape-invariant potentials in supersymmetric quantum mechanics
• Solution of the Dirac equation on the homogeneous manifoldSL(2,c)/GL(1,c) in the presence of a magnetic monopole field

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