A scaling limit of a Hamiltonian of many nonrelativistic particles interacting with a quantized radiation field

Hiroshima, F.

Hokkaido University Preprint Series in Mathematics, 1996, 338, 1-34

Permalink : https://doi.org/10.14943/83484

このアイテムのアクセス数:754件（2026-08-11 16:44 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
re338	pdf	1.10 MB	602

アクセス権	open access
DOI	https://doi.org/10.14943/83484
URI	https://hdl.handle.net/2115/69088
タイトル	A scaling limit of a Hamiltonian of many nonrelativistic particles interacting with a quantized radiation field
著者	著者名 Hiroshima, F.
言語	英語
発行日	1996-05-01
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	338
ページ	1-34
抄録	This paper presents a scaling limit of Hamiltonians which describe interactions of N-nonrelativistic charged particles in a scalar potential and a quantized radiation field in the Coulomb gauge with the dipole approximation. The scaling limit defines effective potentials. In one-nonrelativistic particle case, the effective potentials have been known to be Gaussian transformations of the scalar potential [J.Math.Phys.34(1993)4478- 4518]. However it is shown that the effective potentials in the case of N-nonrelativistic particles are not necessary to be Gaussian transformations of the scalar potential.
資源タイプ	紀要論文
出版タイプ	Version of Record