Self-adjointness and domain of generalized spin-boson models with mild ultraviolet divergences

• URL: http://arxiv.org/abs/2307.14727v1
• Date: Thu, 27 Jul 2023 09:31:16 GMT
• Title: Self-adjointness and domain of generalized spin-boson models with mild ultraviolet divergences
• Authors: Sascha Lill, Davide Lonigro
• Abstract summary: We provide a rigorous construction of a large class of generalized spin-boson models with ultraviolet-divergent form factors. This class comprises various models of many possibly non-identical atoms with arbitrary but finite numbers of levels, interacting with a boson field.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We provide a rigorous construction of a large class of generalized spin-boson models with ultraviolet-divergent form factors. This class comprises various models of many possibly non-identical atoms with arbitrary but finite numbers of levels, interacting with a boson field. Ultraviolet divergences are assumed to be mild, such that no self-energy renormalization is necessary. Our construction is based on recent results by A. Posilicano, which also allow us to state an explicit formula for the domain of self-adjointness for our Hamiltonians.

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