A probabilistic representation of the ground state expectation of fractional powers of the boson number operator

We give a formula in terms of a joint Gibbs measure on Brownian paths and the measure of a random-time Poisson process of the ground state expectations of fractional (in fact, any real) powers of the boson number operator in the Nelson model. We use this representation to obtain tight two-sided boun...

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Bibliographic Details
Main Authors: Fumio Hiroshima, Jozsef Lorinczi, Toshimitsu Takaesu
Format: Default Article
Published: 2012
Subjects:
Other mathematical sciences not elsewhere classified
Gibbs measure on path space
Random-time Poisson process
Ground state
Boson number operator
Nelson model
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/21955
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https://hdl.handle.net/2134/21955

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