Wronskian/Casoratian Identities and their Application to Quantum Mechanical Systems
Mathematical Physics
2020-08-26 v2 High Energy Physics - Theory
Classical Analysis and ODEs
math.MP
Exactly Solvable and Integrable Systems
Abstract
Corresponding to a certain Wronskian identity, we present two types of new Casoratian identities. We apply these identities to the Darboux transformations of quantum mechanical systems. The Wronskian identity is applied to the ordinary quantum mechanics, and the two Casoratian identities are applied to the discrete quantum mechanics with pure imaginary and real shifts, respectively.
Keywords
Cite
@article{arxiv.2003.00219,
title = {Wronskian/Casoratian Identities and their Application to Quantum Mechanical Systems},
author = {Satoru Odake},
journal= {arXiv preprint arXiv:2003.00219},
year = {2020}
}
Comments
25 pages. Comments and a reference added. To appear in J.Phys.A