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arXiv · 2407.02036

PT symmetric fermionic particle oscillations in even dimensional representations

Leqian Chen·Sarben Sarkar
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Abstract

We describe a novel class of quantum mechanical particle oscillations in both relativistic and non-relativistic systems based on $PT$ symmetry and $T^2=-1$ (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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Leqian Chen, Sarben Sarkar. 2024-07-02. PT symmetric fermionic particle oscillations in even dimensional representations. https://arxiv.org/abs/2407.02036

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