Proof to count bound state nodes in supersymmetric quantum mechanics
Abstract
A normalizable static supersymmetric bound ground state annihilated by the supergenerators has got zero number of internal nodes in the framework of onedimensional supersymmetric quantum mechanics. The supergenerator transformations between excited superpartner bound states as combined with the standard technique of Wronskian provides an elegant and selfsufficient way to derive the equality of internal nodes amount to the number of consequent excitation.
 Publication:

arXiv eprints
 Pub Date:
 January 2023
 DOI:
 10.48550/arXiv.2301.11303
 arXiv:
 arXiv:2301.11303
 Bibcode:
 2023arXiv230111303A
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 10 pages, 3 figures