Non-Hermitian Hamiltonians and similarity transformations
Quantum Physics
2016-08-08 v2
Abstract
We show that similarity (or equivalent) transformations enable one to construct non-Hermitian operators with real spectrum. In this way we can also prove and generalize the results obtained by other authors by means of a gauge-like transformation and its generalization. Such similarity transformations also reveal the connection with pseudo-Hermiticity in a simple and straightforward way. In addition to it we consider the positive and negative eigenvalues of a three-parameter non-Hermitian oscillator.
Cite
@article{arxiv.1502.02694,
title = {Non-Hermitian Hamiltonians and similarity transformations},
author = {Francisco M. Fernández},
journal= {arXiv preprint arXiv:1502.02694},
year = {2016}
}