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Ground states of a model in quantum electrodynamics

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83574

Title: Ground states of a model in quantum electrodynamics
Authors: Hiroshima, F. Browse this author
Issue Date: 1-Sep-1998
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 428
Start Page: 1
End Page: 48
Abstract: 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.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69178
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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