Supersymmetric quantum mechanics in a first-order Dirac equation

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dc.contributor.authorHughes, R.J.
dc.contributor.authorKostelecký, V.A.
dc.contributor.authorNieto, M.M.
dc.date.accessioned2014-09-05T16:03:44Z
dc.date.available2014-09-05T16:03:44Z
dc.date.issued1986
dc.description.abstractWe demonstrate the realization of supersymmetric quantum mechanics in the standard first-order Dirac equation describing a massless Dirac particle in a magnetic field. This system is relevant to the integer quantum Hall effect. In obtaining the first-order supersymmetry, square-root operators are used and justified. A detailed discussion is also provided of the simpler problem of supersymmetry in the context of the relativistic Pauli Hamiltonian squared. In addition we discuss a realization of the superalgebra osp(1/2) obtained from this system.
dc.identifier.citationHughes, R. J., Kostelecký, V. A., & Nieto, M. M. (1986). Supersymmetric quantum mechanics in a first-order Dirac equation. Physical Review D, 34(4), 1100-1107. http://dx.doi.org/10.1103/PhysRevD.34.1100
dc.identifier.urihttps://hdl.handle.net/2022/18646
dc.language.isoen_US
dc.publisherAmerican Physical Society
dc.relation.isversionofhttps://doi.org/10.1103/PhysRevD.34.1100
dc.rights© 1986 American Physical Society.
dc.titleSupersymmetric quantum mechanics in a first-order Dirac equation
dc.typeArticle

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