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arXiv · 1405.6570

Self-Adjointness criterion for operators in Fock spaces

Marco Falconi
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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.

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Marco Falconi. 2015-02-11. Self-Adjointness criterion for operators in Fock spaces. https://doi.org/10.1007/s11040-015-9173-x

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