arXiv:quant-ph/0203101 · Journal of Mathematical Physics

Weak pseudo-Hermiticity and antilinear commutant

Luigi Solombrino

Published Oct 24, 2002• 94 citations

Abstract

We inquire into some properties of diagonalizable pseudo-Hermitian operators, showing that their definition can be relaxed and that the pseudo-Hermiticity property is strictly connected with the existence of an antilinear symmetry. This result is then illustrated by considering the particular case of the complex Morse potential.

DOI: 10.1063/1.1504485

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