2024-03-29T00:50:48Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/691782022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Ground states of a model in quantum electrodynamicsHiroshima, F.open access410The 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.Department of Mathematics, Hokkaido University1998-09-01engdepartmental bulletin paperVoRhttps://doi.org/10.14943/83574http://hdl.handle.net/2115/6917810.14943/83574Hokkaido University Preprint Series in Mathematics428148https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69178/1/pre428.pdfapplication/pdf1.56 MB1998-09-01