Tridiagonality, supersymmetry and non self-adjoint Hamiltonians
Mathematical Physics
2019-09-04 v1 math.MP
Quantum Physics
Abstract
In this paper we consider some aspects of tridiagonal, non self-adjoint, Hamiltonians and of their supersymmetric counterparts. In particular, the problem of factorization is discussed, and it is shown how the analysis of the eigenstates of these Hamiltonians produce interesting recursion formulas giving rise to biorthogonal families of vectors. Some examples are proposed, and a connection with bi-squeezed states is analyzed.
Cite
@article{arxiv.1907.05111,
title = {Tridiagonality, supersymmetry and non self-adjoint Hamiltonians},
author = {F. Bagarello and F. Gargano and F. Roccati},
journal= {arXiv preprint arXiv:1907.05111},
year = {2019}
}