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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
| 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 |
| Publisher: | Department of Mathematics, Hokkaido University |
| 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
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Submitter: 数学紀要登録作業用
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