Susy for non-Hermitian Hamiltonians, with a view to coherent states
Mathematical Physics
2020-08-26 v1 math.MP
Quantum Physics
Abstract
We propose an extended version of supersymmetric quantum mechanics which can be useful if the Hamiltonian of the physical system under investigation is not Hermitian. The method is based on the use of two, in general different, superpotentials. Bi-coherent states of the Gazeau-Klauder type are constructed and their properties are analyzed. Some examples are also discussed, including an application to the Black-Scholes equation, one of the most important equations in Finance.
Keywords
Cite
@article{arxiv.2007.01677,
title = {Susy for non-Hermitian Hamiltonians, with a view to coherent states},
author = {Fabio Bagarello},
journal= {arXiv preprint arXiv:2007.01677},
year = {2020}
}
Comments
In press in Mathematical Physics, Analysis and Geometry