3 problems

Let ${\cal PT}$-symmetric quantum mechanics denote the class of non-Hermitian quantum-mechanical systems invariant under combined parity and time reversal, and let pseudo-Hermitian…

Let $P_{\rm P}(s)=\exp(-s)$ denote the Poisson level-spacing distribution, and let $P_{\rm W}(s)$ denote the Wigner level-spacing distribution. Consider a pseudo-Hermitian Dicke Ha…

Conjecture on particle-physics applications. Such pseudo-Hermitian, and in particular $\mathcal{PT}$-symmetric, models may have important applications in particle physics.