Supersymmetric quantum mechanics in a first-order Dirac equation

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Date

1986

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American Physical Society

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https://hdl.handle.net/2022/18646

Abstract

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.

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Hughes, 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

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https://doi.org/10.1103/PhysRevD.34.1100

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© 1986 American Physical Society.

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Faculty Publications and Research