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math.FA2011
Functional Integral Representation for Relativistic Schrodinger Operator Coupled to a Scalar Bose Field with Interaction
Toshimitsu Takaesu
In this paper the system of a semi-relativistic particle interacting with a scalar Bose field is investigated. The ultraviolet cutoff condition is imposed on the Bose field. In the…
math-ph2011
A Probabilistic Representation of the Ground State Expectation of Fractional Powers of the Boson Number Operator
Fumio Hiroshima, Jozsef Lorinczi, Toshimitsu Takaesu
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…