Functional Integral Representation for Relativistic Schrodinger Operator Coupled to a Scalar Bose Field with $P(φ)$ Interaction

Details Functional Integral Representation for Relativistic Schrodinger Operator Coupled to a Scalar Bose Field with $P(φ)$ Interaction Functional Integral Representation for Relativistic Schrodinger Operator Coupled to a Scalar Bose Field with $P(φ)$ Interaction

2011-08-10

arxiv.org/abs/1108.2256v1

Mathematics

Functional Analysis

Scientific paper

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 main theorem, the functional integral representation
of the semi group generated by the total Hamiltonian with $P(\phi)$ interaction
is obtained.

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