Yan-Gang Miao, Zhen-Ming Xu

Real eigenvalues of some non-Hermitian (pseudo-Hermitian or PT-symmetric) Hamiltonians can be determined by solving operator quantum equations of motion rather than Schroedinger equations within the framework of quantum mechanics. This method is in particular applicable for the class of models which are closely related to the harmonic oscillator. In this way, a new application of quantum mechanics is thus given.

http://arxiv.org/abs/1212.6705

Quantum Physics (quant-ph); High Energy Physics – Theory (hep-th)