Generalized spin-boson models with non-normalizable form factors

Lonigro D (2022)

Publication Type: Journal article

Publication year: 2022


Book Volume: 63

Article Number: 072105

Journal Issue: 7

DOI: 10.1063/5.0085576


Generalized spin-boson (GSB) models describe the interaction between a quantum mechanical system and a structured boson environment, mediated by a family of coupling functions known as form factors. We propose an extension of the class of GSB models, which can accommodate non-normalizable form factors provided that they satisfy a weaker growth constraint, thus accounting for a rigorous description of a wider range of physical scenarios; we also show that such "singular"GSB models can be rigorously approximated by GSB models with normalizable form factors. Furthermore, we discuss in greater detail the structure of the spin-boson model with a rotating wave approximation: for this model, the result is improved via a nonperturbative approach that enables us to further extend the class of admissible form factors as well as to compute its resolvent and characterize its self-adjointness domain.

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Lonigro, D. (2022). Generalized spin-boson models with non-normalizable form factors. Journal of Mathematical Physics, 63(7).


Lonigro, Davide. "Generalized spin-boson models with non-normalizable form factors." Journal of Mathematical Physics 63.7 (2022).

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