| Issue |
EPL
Volume 130, Number 3, May 2020
|
|
|---|---|---|
| Article Number | 30003 | |
| Number of page(s) | 3 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/130/30003 | |
| Published online | 29 May 2020 | |
Supersymmetric quantum mechanics requires g=2 for vector bosons
European Southern Observatory - Karl-Schwarzschild-Straße 2, D-85748 Garching, Germany and Institut für Theoretische Physik I, Universität Erlangen-Nürnberg - Staudtstraße 7, D-91058 Erlangen, Germany
Received: 11 April 2020
Accepted: 18 May 2020
Relativistic arbitrary spin Hamiltonians are shown to obey the algebraic structure of supersymmetric quantum system if their odd and even parts commute. This condition is identical to that required for the exactness of the Foldy-Wouthuysen transformation. Applied to a massive charged spin-1 particle in a constant magnetic field, supersymmetric quantum mechanics necessarily requires a gyromagnetic factor g = 2.
PACS: 03.65.Pm – Relativistic wave equations / 11.30.Pb – Supersymmetry / 13.40.Em – Electric and magnetic moments
© EPLA, 2020
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