No zero energy states for the supersymmetric x^2y^2 potential
Mathematical Physics
2007-05-23 v1 High Energy Physics - Theory
math.MP
Abstract
We show that the positive supersymmetric matrix-valued differential operator H={p_x}^2 + {p_y}^2 + x^2y^2 + x\sigma_3 + y\sigma_1 has no zero modes, i.e., H \psi = 0 implies \psi =0.
Cite
@article{arxiv.math-ph/0109032,
title = {No zero energy states for the supersymmetric x^2y^2 potential},
author = {G. M. Graf and D. Hasler and J. Hoppe},
journal= {arXiv preprint arXiv:math-ph/0109032},
year = {2007}
}
Comments
5 pages, 1 figure, LaTeX