閲覧可能ファイル 

ファイル	フォーマット	サイズ	閲覧回数	説明
re544	pdf	1.04 MB	589

論文情報

ファイル出力 EndNote Basic出力 Mendeley出力

アクセス権	open access
DOI	https://doi.org/10.14943/83689
URI	https://hdl.handle.net/2115/69293
タイトル	Non-relativistic limit of a Dirac-Maxwell operator in relativistic quantum electrodynamics
著者	著者名 Arai, A.
言語	英語
キーワード	quantum electrodynamics
	Dirac operator
	Dirac-Maxwell operator
	Pauli­Fierz Hamiltonian
	non-relativistic limit
	scalig limit
	Fock space
	strongly anticornmuting self-adjoint operators
発行日	2001-12
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	544
ページ	1-27
抄録	The 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.
資源タイプ	紀要論文
出版タイプ	Version of Record

ホームへ戻る