Annihilation and creation operators in non-Hermitian supersymmetric quantum mechanics
High Energy Physics - Theory
2007-05-23 v2
Abstract
Harmonic oscillators with a centrifugal spike are analysed, via a non-Hermitian regularization, within a complexified SUSY quantum mechanics. The formalism enables us to construct the factorized creation and annihilation operators. We show how the real though, generically, non-equidistant spectrum complies with the current SUSY-type isospectrality and degeneracy in an unusual way.
Keywords
Cite
@article{arxiv.hep-th/0012002,
title = {Annihilation and creation operators in non-Hermitian supersymmetric quantum mechanics},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:hep-th/0012002},
year = {2007}
}
Comments
19 pages and 7 tables for Tuesday seminar in Bratislava. Version 2: 15 pages, submitted