Anisotropic oscillator with pseudo-hermiticity and its noncommutative extension
Quantum Physics
2011-10-12 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
When a non-hermitian hamiltonian has a certain symmetry, such as the PT pseudo-hermiticity, it is still possible that the hamiltonian has a real spectrum. In this note, by adding an imaginary potential proportional to ip_1p_2 to the hamiltonian of an anisotropic planar oscillator, we construct a PT pseudo-hermitian hamiltonian and obtain its real spectrum. In addition, we find that the reality of the energy spectrum remains when the model is extended to the canonical noncommutative space.
Cite
@article{arxiv.1004.3644,
title = {Anisotropic oscillator with pseudo-hermiticity and its noncommutative extension},
author = {Jun-Qing Li and Yan-Gang Miao},
journal= {arXiv preprint arXiv:1004.3644},
year = {2011}
}
Comments
This paper has been withdrawn by the author