2019-10-16T14:34:51Zhttps://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.open accessquantum 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.2001-12engdepartmental bulletin paperVoRhttps://doi.org/10.14943/83689http://hdl.handle.net/2115/6929310.14943/83689Hokkaido University Preprint Series in Mathematics544127https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69293/1/pre544.pdfapplication/pdf1.04 MB2001-12