Spin-boson model through a Poisson-driven stochastic process

We give a functional integral representation of the semigroup generated by the spin-boson Hamiltonian by making use of a Poisson point process and a Euclidean field. We present a method of constructing Gibbs path measures indexed by the full real line which can be applied also to more general stocha...

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Bibliographic Details
Main Authors: Masao Hirokawa, Fumio Hiroshima, Jozsef Lorinczi
Format: Default Article
Published: 2014
Subjects:
Other mathematical sciences not elsewhere classified
Poisson process
Cadlag paths
Gibbs measure
Spin-boson operator
Ground state
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/21507
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https://hdl.handle.net/2134/21507

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