PoS - Proceedings of Science
Volume 449 - The European Physical Society Conference on High Energy Physics (EPS-HEP2023) - T11 Quantum Field and String Theory
Flavour oscillations in pseudo-Hermitian quantum theories
R. Mason, P. Millington* and E. Sablevice
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Pre-published on: January 31, 2024
Published on: March 21, 2024
This note summarises recent progress in the formulation of flavour mixing and oscillations in pseudo-Hermitian quantum theories with non-Hermitian mass mixing matrices. Such non-Hermitian quantum theories are made viable by the existence of a discrete anti-linear symmetry of the Hamiltonian, which ensures that states have real energies. We describe oscillation and survival probabilities in a non-Hermitian two-state quantum mechanical system that are consistent with unitarity, and highlight features of these pseudo-Hermitian flavour oscillations that are unique compared to their Hermitian counterparts.
DOI: https://doi.org/10.22323/1.449.0498
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