Proof to count bound state nodes in supersymmetric quantum mechanics
High Energy Physics - Theory
2023-04-13 v3 High Energy Physics - Phenomenology
Abstract
A normalizable static supersymmetric bound ground state annihilated by the super-generators has got zero number of internal nodes in the framework of one-dimensional supersymmetric quantum mechanics. The super-generator transformations between excited super-partner bound states as combined with the standard technique of Wronskian provides an elegant and self-sufficient way to derive the equality of internal nodes amount to the number of consequent excitation.
Cite
@article{arxiv.2301.11303,
title = {Proof to count bound state nodes in supersymmetric quantum mechanics},
author = {A. Aynbund and V. V. Kiselev},
journal= {arXiv preprint arXiv:2301.11303},
year = {2023}
}
Comments
10 pages, 3 figures