Exact solution of the curved Dirac equation in polar coordinates: master function approach (Q889063): Difference between revisions

The Dirac equation for a charged particle in (2+1) dimensions is studied. Using shape-invariant potentials, it is exactly solved for some particular electromagnetic fields.

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reviewed by

Mohammad Khorrami

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zbMATH Keywords

Dirac equation

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shape-invariant potentials

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1155/2015/612757

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cites work

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Generalized nuclear Woods-Saxon potential under relativistic spin symmetry limit

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Another bunch of superpotentials in terms of a master function

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Dirac equation for a spin-$frac12$ charged particle on the 2D sphere S2 and the hyperbolic plane H2

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

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Q4001777

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Relativistic extension of shape-invariant potentials

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Solution of the Dirac equation with position-dependent mass in the Coulomb field

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The $(2+1)$ curved Dirac equation in polar coordinates in the presence of electromagnetic field

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A search for shape-invariant solvable potentials

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Identifiers

zbMATH Open document ID

1436.81034

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DOI

10.1155/2015/612757

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:889063

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