Renormalization of Spin–Boson Interactions Mediated by Singular Form Factors

Lonigro D (2023)


Publication Type: Book chapter / Article in edited volumes

Publication year: 2023

Publisher: Springer-Verlag Italia s.r.l.

Edited Volumes: Quantum Mathematics II. INdAM 2022

Series: Springer INdAM Series

Book Volume: 58

Pages Range: 103-122

ISBN: 978-981-99-5884-9

DOI: 10.1007/978-981-99-5884-9_3

Abstract

We study and discuss the extension of the rotating-wave spin–boson model, together with more general models describing a system–field coupling with a similar rotating-wave structure, to interactions mediated by possibly singular (non-normalizable) form factors satisfying a weaker growth constraint. To this purpose, a construction of annihilation and creation operators as continuous maps on a scale of Fock spaces, together with a rigorous renormalization procedure, is employed.

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APA:

Lonigro, D. (2023). Renormalization of Spin–Boson Interactions Mediated by Singular Form Factors. In Correggi M., Falconi M. (Eds.), Quantum Mathematics II. INdAM 2022. (pp. 103-122). Springer-Verlag Italia s.r.l..

MLA:

Lonigro, Davide. "Renormalization of Spin–Boson Interactions Mediated by Singular Form Factors." Quantum Mathematics II. INdAM 2022. Ed. Correggi M., Falconi M., Springer-Verlag Italia s.r.l., 2023. 103-122.

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