Flavour oscillations in pseudo-Hermitian quantum theories

• URL: http://arxiv.org/abs/2311.04839v1
• Date: Wed, 8 Nov 2023 17:04:53 GMT
• Title: Flavour oscillations in pseudo-Hermitian quantum theories
• Authors: Robert Mason, Peter Millington, Esra Sablevice
• Abstract summary: We describe oscillation and survival probabilities in a non-Hermitian two-state quantum mechanical system. We highlight features of these pseudo-Hermitian flavour oscillations that are unique compared to their Hermitian counterparts.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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