Weak coupling limit with a removal of an ultraviolet cut-off for a Hamiltonian of particles interacting with a massive scalar field

Hiroshima, F.

Hokkaido University Preprint Series in Mathematics, 1996, 350, 1-21

Permalink : https://doi.org/10.14943/83496

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アクセス権	open access
DOI	https://doi.org/10.14943/83496
URI	https://hdl.handle.net/2115/69100
タイトル	Weak coupling limit with a removal of an ultraviolet cut-off for a Hamiltonian of particles interacting with a massive scalar field
著者	著者名 Hiroshima, F.
言語	英語
発行日	1996-09-01
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	350
ページ	1-21
抄録	This paper presents a rigorous derivation of an N-body Schrodinger Hamiltonian from taking a weak coupling limit of a renormalized Hamiltonian describing an interaction of N-spineless particles and a massive scalar field at the same time as an ultraviolet cut-off is removed. In particular, in the case where the space dimension equals three, the Yukawa potential appears in the N-body Schrodinger Hamiltonian.
資源タイプ	紀要論文
出版タイプ	Version of Record