Foldy-Wouthuysen transformation for non-Hermitian Hamiltonians

Abstract

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.

arXiv comment7 pages

References in corpus (9)

• Lorentz-Violating Extension of the Standard Model
• Stability, Causality, and Lorentz and CPT Violation
• Overview of the SME: Implications and Phenomenology of Lorentz Violation
• Dual PT-Symmetric Quantum Field Theories
• Strong Equivalence, Lorentz and CPT Violation, Anti-Hydrogen Spectroscopy and Gamma-Ray Burst Polarimetry
• A New Class of non-Hermitian Quantum Hamiltonians with PT Symmetry
• Relativistic Non-Hermitian Quantum Mechanics
• PT-Symmetric Representations of Fermionic Algebras
• Absence of Long-Wavelength Cerenkov Radiation With Isotropic Lorentz and CPT Violation

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• Non-Hermiticity: a new paradigm for model building in particle physics
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