open access

https://doi.org/10.14943/83574

https://hdl.handle.net/2115/69178

Ground states of a model in quantum electrodynamics

英語

1998-09-01

Department of Mathematics, Hokkaido University

Hokkaido University Preprint Series in Mathematics

428

1-48

The system of one charged non-relativistic particle with a class of external po­tentials minimally coupled to a massless quantized radiation field without the dipole approximation is considered. An ultraviolet cut-off is imposed on the quantized radia­tion field, the charged particle has spin 1/2 and the class of external potentials contains the Coulomb potential. It is shown that the ground states of the system exist provided that a coupling constant is in a region, and an expression of the ground state energy of the system is given by a functional integral containing a vector-v,1.lucd stochastic integral.

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