General Solution of the Two-Dimensional Intertwining Relations for Supercharges with Hyperbolic (Lorentz) Metrics
High Energy Physics - Theory
2015-06-12 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
The supersymmetrical intertwining relations are the most productive part of the supersymmetrical method in two-dimensional Quantum Mechanics. Most interesting are relations with hyperbolic form of derivatives in supercharges. So far, several explicit solutions were found, and they provide nontrivial two-dimensional potentials which were further studied by means of supersymmetrical methods. In the present paper the general solution of intertwining relations with hyperbolic structure of supercharges is obtained. The corresponding potentials are built explicitly, and it is evident that some of them were not known before now.
Keywords
Cite
@article{arxiv.1211.1461,
title = {General Solution of the Two-Dimensional Intertwining Relations for Supercharges with Hyperbolic (Lorentz) Metrics},
author = {M. S. Bardavelidze and M. V. Ioffe and D. N. Nishnianidze},
journal= {arXiv preprint arXiv:1211.1461},
year = {2015}
}
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12 pages