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Foldy-Wouthuysen transformation for non-Hermitian Hamiltonians

Alexandre, J. & Bender, C. (2015). Foldy-Wouthuysen transformation for non-Hermitian Hamiltonians. Journal of Physics A: Mathematical and Theoretical, 48(18), 185403. doi: 10.1088/1751-8113/48/18/185403


Two Non-Hermitian fermion models are proposed and analyzed by using Foldy-Wouthuysen transformations. One model has Lorentz symmetry breaking and the other has a non-Hermitian mass term. It is shown that each model has real energies in a given region of parameter space, where they have a locally conserved current.

Publication Type: Article
Additional Information: This is an author-created, un-copyedited version of an article accepted for publication in Journal of Physics A: Mathematical and Theoretical. The publisher is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Departments: School of Science & Technology > Mathematics
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