Oscillation probabilities for a PT-symmetric non-Hermitian two-state system

Jean Alexandre, Madeleine Dale, John Ellis, Robert Mason, Peter Millington

Research output: Working paperPreprint

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Abstract

There is growing interest in viable quantum theories with PT-symmetric non-Hermitian Hamiltonians, but a formulation of transition matrix elements consistent with positivity and perturbative unitarity has so far proved elusive. This Letter provides such a formulation, which relies crucially on the ability to span the state space in such a way that the interaction and energy eigenstates are orthonormal with respect to the same positive-definite inner product. We mention possible applications to the oscillations of mesons and neutrinos.
Original languageEnglish
Publication statusPublished - 22 Feb 2023

Keywords

  • quant-ph
  • hep-ph
  • hep-th

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