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Supersymmetric quantum mechanics in a first-order Dirac equation
We 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 us...
| Autores principales: | , , |
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| Lenguaje: | eng |
| Publicado: |
1986
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1103/PhysRevD.34.1100 http://cds.cern.ch/record/167416 |
| _version_ | 1780881005414973440 |
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| author | Hughes, R J Kostelecky, V A Nieto, Michael Martin |
| author_facet | Hughes, R J Kostelecky, V A Nieto, Michael Martin |
| author_sort | Hughes, R J |
| collection | CERN |
| description | We 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. |
| id | cern-167416 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 1986 |
| record_format | invenio |
| spelling | cern-1674162019-09-30T06:29:59Zdoi:10.1103/PhysRevD.34.1100http://cds.cern.ch/record/167416engHughes, R JKostelecky, V ANieto, Michael MartinSupersymmetric quantum mechanics in a first-order Dirac equationGeneral Theoretical PhysicsWe 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.LA-UR-86-1186oai:cds.cern.ch:1674161986 |
| spellingShingle | General Theoretical Physics Hughes, R J Kostelecky, V A Nieto, Michael Martin Supersymmetric quantum mechanics in a first-order Dirac equation |
| title | Supersymmetric quantum mechanics in a first-order Dirac equation |
| title_full | Supersymmetric quantum mechanics in a first-order Dirac equation |
| title_fullStr | Supersymmetric quantum mechanics in a first-order Dirac equation |
| title_full_unstemmed | Supersymmetric quantum mechanics in a first-order Dirac equation |
| title_short | Supersymmetric quantum mechanics in a first-order Dirac equation |
| title_sort | supersymmetric quantum mechanics in a first-order dirac equation |
| topic | General Theoretical Physics |
| url | https://dx.doi.org/10.1103/PhysRevD.34.1100 http://cds.cern.ch/record/167416 |
| work_keys_str_mv | AT hughesrj supersymmetricquantummechanicsinafirstorderdiracequation AT kosteleckyva supersymmetricquantummechanicsinafirstorderdiracequation AT nietomichaelmartin supersymmetricquantummechanicsinafirstorderdiracequation |