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- W4287688520 abstract "Hamiltonians describing the relativistic quantum dynamics of a particle with an arbitrary spin are shown to exhibit a supersymmetric structure when the even and odd elements of the Hamiltonian commute. For such supersymmetric Hamiltonians an exact Foldy-Wouthuysen transformation exits which brings it into a block-diagonal form separating the positive and negative energy subspaces. Here the supercharges transform between energy eigenstates of positive and negative energy. The relativistic dynamics of a charged particle in a magnetic field is considered for the case of a scalar (spin-zero) boson obeying the Klein-Gordan equation, a Dirac (spin one-half) fermion and a vector (spin-one) boson characterised by the Proca equation." @default.
- W4287688520 created "2022-07-26" @default.
- W4287688520 creator A5090122251 @default.
- W4287688520 date "2020-08-17" @default.
- W4287688520 modified "2023-10-17" @default.
- W4287688520 title "Supersymmetry of Relativistic Hamiltonians for Arbitrary Spin" @default.
- W4287688520 doi "https://doi.org/10.48550/arxiv.2009.02153" @default.
- W4287688520 hasPublicationYear "2020" @default.
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