Pseudo-Hermiticity of an Exactly Solvable Two-Dimensional Model
High Energy Physics - Theory
2008-11-26 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
We study a two-dimensional exactly solvable non-Hermitian non-symmetric quantum model with real spectrum, which is not amenable to separation of variables, by supersymmetrical methods. Here we focus attention on the property of pseudo-Hermiticity, biorthogonal expansion and pseudo-metric operator. To our knowledge this is the first time that pseudo-Hermiticity is realized explicitly for a nontrivial two-dimensional case. It is shown that the Hamiltonian of the model is not diagonalizable.
Cite
@article{arxiv.0704.2219,
title = {Pseudo-Hermiticity of an Exactly Solvable Two-Dimensional Model},
author = {F. Cannata and M. V. Ioffe and D. N. Nishnianidze},
journal= {arXiv preprint arXiv:0704.2219},
year = {2008}
}