open access

https://doi.org/10.14943/83438

https://hdl.handle.net/2115/69042

Functional Integral Representation of a Model in QED

英語

1995-04-01

Department of Mathematics, Hokkaido University

Hokkaido University Preprint Series in Mathematics

291

1-48

This article presents functional integral representations for the heat semigroups with the infinitesimal generators given by self-adjoint Hamiltonians describing an interaction of a. non-relativistic charged particle and a quantized radiation field in the Coulomb gauge without the dipole approximation. Special attention is paid to definition of the "time-ordered Hilbert space-valued stochastic integrals associated with a family of isometries from a Hilbert space to another one" and semigroup techniques. Some inequalities are derived, which are infinite degree versions of those known for finite dimensional Schrodinger operators with classical vector potentials.

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