2020-02-28T03:28:20Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/692932018-04-25T23:44:08Zhdl_2115_45007hdl_2115_116Non-relativistic limit of a Dirac-Maxwell operator in relativistic quantum electrodynamicsArai, A.quantum electrodynamicsDirac operatorDirac-Maxwell operatorPauliĀFierz Hamiltoniannon-relativistic limitscalig limitFock spacestrongly anticornmuting self-adjoint operators410The non-relativistic (scaling) limit of a particle-field Hamiltonian H, called a Dirac-Maxwell operator, in relativistic quantum electrodynamics is considered. It is proven that the non-relativistic limit of H yields a self-adjoint extension of the Pauli-Fierz Hamiltonian with spin 1/2 in non-relativistic quantum electrodynamics. This is done by establishing in an abstract framework a general limit theorem on a family of self-adjoint operators partially formed out of strongly anticommuting self-adjoint operators and then by applying it to H.Departmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69293info:doi/10.14943/83689https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69293/1/pre544.pdfHokkaido University Preprint Series in Mathematics5441272001-12engpublisher