Behavior of eigenvalues in a region of broken-PT symmetry

PT-symmetric quantum mechanics began with a study of the Hamiltonian H=p^2+x^2(ix)^\varepsilon. When \varepsilon\geq0, the eigenvalues of this non-Hermitian Hamiltonian are discrete, real, and positive. This portion of parameter space is known as the region of unbroken PT symmetry. In the region of broken PT symmetry \varepsilon<0 only a finite number... Show more