Self-Adjointness criterion for operators in Fock spaces
Functional Analysis
2015-02-12 v2 Mathematical Physics
math.MP
Abstract
In this paper we provide a criterion of essential self-adjointness for operators in the tensor product of a separable Hilbert space and a Fock space. The class of operators we consider may contain a self-adjoint part, a part that preserves the number of Fock space particles and a non-diagonal part that is at most quadratic with respect to the creation and annihilation operators. The hypotheses of the criterion are satisfied in several interesting applications.
Cite
@article{arxiv.1405.6570,
title = {Self-Adjointness criterion for operators in Fock spaces},
author = {Marco Falconi},
journal= {arXiv preprint arXiv:1405.6570},
year = {2015}
}
Comments
20 pages