Complex Spectrum of a Spontaneously Unbroken PT Symmetric Hamiltonian

Abstract

It is believed that unbroken PT symmetry is sufficient to guarantee that the spectrum of a non-Hermitian Hamiltonian is real. We prove that this is not true. We study a Hamiltonian with complex spectrum for which PT symmetry is not spontaneously broken.

arXiv comment4 pages, no figures

Cited by in corpus (1)

• Pseudo-invariant approach for a particle in a complex time-dependent linear potential