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

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83496

Title: Weak coupling limit with a removal of an ultraviolet cut-off for a Hamiltonian of particles interacting with a massive scalar field
Authors: Hiroshima, F. Browse this author
Issue Date: 1-Sep-1996
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 350
Start Page: 1
End Page: 21
Abstract: 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.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69100
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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