$\eta$-weak-pseudo-Hermiticity generators and radially symmetric Hamiltonians
High Energy Physics - Theory
2008-11-26 v5 Quantum Physics
Abstract
A class of spherically symmetric non-Hermitian Hamiltonians and their \eta-weak-pseudo-Hermiticity generators are presented. An operators-based procedure is introduced so that the results for the 1D Schrodinger Hamiltonian may very well be reproduced. A generalization beyond the nodeless states is proposed. Our illustrative examples include \eta-weak-pseudo-Hermiticity generators for the non-Hermitian weakly perturbed 1D and radial oscillators, the non-Hermitian perturbed radial Coulomb, and the non-Hermitian radial Morse models.
Keywords
Cite
@article{arxiv.hep-th/0601017,
title = {$\eta$-weak-pseudo-Hermiticity generators and radially symmetric Hamiltonians},
author = {Omar Mustafa and S. Habib Mazharimousavi},
journal= {arXiv preprint arXiv:hep-th/0601017},
year = {2008}
}
Comments
14 pages, content revised/regularized to cover 1D and 3D cases