PT symmetric fermionic particle oscillations in even dimensional representations

2024/07/02 by Leqian Chen, Chen, Leqian, Sarben Sarkar +1 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2407.02036

openalex publication_date 2024/07/02 · openalex created_date 2024/07/06 · openalex updated_date 2026/07/28

Abstract

We describe a novel class of quantum mechanical particle oscillations in both relativistic and non-relativistic systems based on PT symmetry and T²=-1 (relevant for fermions), where P is parity and T is time reversal. The Hamiltonians are chosen at the outset to be self-adjoint with respect to a PT inner product. The quantum mechanical time evolution is based on a modified CPT inner product constructed in terms of a suitable C operator. The resulting quantum mechanical evolution is shown to be unitary and probability is conserved by the oscillations.

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