Foldy-Wouthuysen transformation for a non-Hermitian Hamiltonian

4th Symposium on Prospects in the Physics of Discrete Symmetries

Alexandre, Jean^1

Department of Physics, King's College London, WC2R 2LS, United Kingdom^1

关键词: Foldy-Wouthuysen transformations;    Hermitians;    Lagrangian;    Non-Hermitian Hamiltonians;    Parameter spaces;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/631/1/012071/pdf
DOI  :  10.1088/1742-6596/631/1/012071

来源: IOP

【 摘 要 】

The free Dirac Lagrangian is extended with a non-Hermitian mass term. It is shown that the model has real energies and a conserved current in a given region of parameter space, and the Hamiltonian is mapped on a Hermitian Hamiltonian, using a (non-unitary) Foldy-Wouthuysen transformation.