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Title: P (φ) 1-process for the spin-boson model and a functional central limit theorem for associated additive functionals
Authors: Gheryani, Soumaya
Hiroshima, Fumio
Lorinczi, Jozsef
Majid, Achref
Ouerdiane, Habib
Keywords: Spin-boson model
Ground state
Functional central limit theorem
Issue Date: 2017
Publisher: © Taylor & Francis
Citation: GHERYANI, S. ...et al., 2017. P (φ) 1-process for the spin-boson model and a functional central limit theorem for associated additive functionals. Stochastics: An International Journal of Probability and Stochastic Processes, 89(6/7), pp. 1104-1115.
Abstract: We construct a random process with stationary increments associated to the Hamiltonian of the spin-boson model consisting of a component describing the spin and a component given by a Schwartz distribution-valued Ornstein-Uhlenbeck process describing the boson field. We use a path integral representation of the Hamiltonian to prove a functional central limit theorem for additive functionals, and derive explicit expressions of the diffusion constant for specific functionals.
Description: This paper is in closed access until 4th September 2018
Version: Accepted for publication
DOI: 10.1080/17442508.2017.1371177
URI: https://dspace.lboro.ac.uk/2134/26376
Publisher Link: https://doi.org/10.1080/17442508.2017.1371177
ISSN: 1744-2508
Appears in Collections:Closed Access (Maths)

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