Supersymmetry of relativistic hamiltonians for arbitrary spin
Junker G (2020)
Publication Type: Journal article
Publication year: 2020
Journal
Book Volume: 12
Article Number: 1590
Journal Issue: 10
DOI: 10.3390/SYM12101590
Abstract
Hamiltonians describing the relativistic quantum dynamics of a particle with an arbitrary but fixed spin are shown to exhibit a supersymmetric structure when the even and odd elements of the Hamiltonian commute. Here, the supercharges transform between energy eigenstates of positive and negative energy. For such supersymmetric Hamiltonians, an exact Foldy-Wouthuysen transformation exists which brings it into a block-diagonal form separating the positive and negative energy subspaces. The relativistic dynamics of a charged particle in a magnetic field are considered for the case of a scalar (spin-zero) boson obeying the Klein-Gordon equation, a Dirac (spin one-half) fermion and a vector (spin-one) boson characterised by the Proca equation. In the latter case, supersymmetry implies for the Landé g-factor g = 2.
Additional Organisation(s)
Involved external institutions
Germany (DE)How to cite
APA:
Junker, G. (2020). Supersymmetry of relativistic hamiltonians for arbitrary spin. Symmetry, 12(10). https://dx.doi.org/10.3390/SYM12101590
MLA:
Junker, Georg. "Supersymmetry of relativistic hamiltonians for arbitrary spin." Symmetry 12.10 (2020).
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