PT-symmetric supersymmetry in a solvable short-range model
Quantum Physics
2016-12-22 v1
Abstract
The simplest purely imaginary and piecewise constant -symmetric potential located inside a larger box is studied. Unless its strength exceeds a certain critical value, all the spectrum of its bound states remains real and discrete. We interpret such a model as an initial element of the generalized non-Hermitian Witten's hierarchy of solvable Hamiltonians and construct its first supersymmetric (SUSY) partner in closed form.
Cite
@article{arxiv.quant-ph/0503035,
title = {PT-symmetric supersymmetry in a solvable short-range model},
author = {B. Bagchi and H. Bila and V. Jakubsky and S. Mallik and C. Quesne and M. Znojil},
journal= {arXiv preprint arXiv:quant-ph/0503035},
year = {2016}
}
Comments
3 figures, 1 table