Self-Adjointness and Domain of Generalized Spin–Boson Models with Mild Ultraviolet Divergences
Lill S, Lonigro D (2025)
Publication Type: Book chapter / Article in edited volumes
Publication year: 2025
Publisher: Springer-Verlag Italia s.r.l.
Series: Springer INdAM Series
Book Volume: 64
Pages Range: 159-185
DOI: 10.1007/978-981-96-3584-9_7
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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APA:
Lill, S., & Lonigro, D. (2025). Self-Adjointness and Domain of Generalized Spin–Boson Models with Mild Ultraviolet Divergences. In (pp. 159-185). Springer-Verlag Italia s.r.l..
MLA:
Lill, Sascha, and Davide Lonigro. "Self-Adjointness and Domain of Generalized Spin–Boson Models with Mild Ultraviolet Divergences." Springer-Verlag Italia s.r.l., 2025. 159-185.
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