Non-Hermitian supersymmetry and singular PT symmetrized oscillators
High Energy Physics - Theory
2008-11-26 v1
Abstract
SUSY partnership between singular potentials often breaks down. Via regularization it can be restored on certain ad hoc subspaces of Hilbert space [Das and Pernice, Nucl. Phys. B 561 (1999) 357]. Within the naturally complexified (so called PT symmetric) quantum mechanics we show how SUSY between strongly singular harmonic oscillators can completely be re-established. Our recipe leads to a new form of the bosonic creation and annihilation operators and proves continuous near the usual regular (i.e., linear harmonic) limit.
Keywords
Cite
@article{arxiv.hep-th/0201056,
title = {Non-Hermitian supersymmetry and singular PT symmetrized oscillators},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:hep-th/0201056},
year = {2008}
}
Comments
24 pages incl. 5 tables and 1 figure