Non-self-adjoint hamiltonians defined by Riesz bases
Mathematical Physics
2015-06-18 v1 math.MP
Quantum Physics
Abstract
We discuss some features of non-self-adjoint Hamiltonians with real discrete simple spectrum under the assumption that the eigenvectors form a Riesz basis of Hilbert space. Among other things, {we give conditions under which these Hamiltonians} can be factorized in terms of generalized lowering and raising operators.
Cite
@article{arxiv.1402.6199,
title = {Non-self-adjoint hamiltonians defined by Riesz bases},
author = {F. Bagarello and A. Inoue and C. Trapani},
journal= {arXiv preprint arXiv:1402.6199},
year = {2015}
}
Comments
in press in Journal of Mathematical Physics