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Hokkaido University Preprint Series in Mathematics >
Scaling limit for a generalization of the Nelson model and its application to nuclear physics
| Title: | Scaling limit for a generalization of the Nelson model and its application to nuclear physics |
| Authors: | Suzuki, Akito Browse this author |
| Keywords: | scaling limit | | weak coupling limit | | GSB model | | Nelson model | | effective potential | | isospin | | nuclear force |
| Issue Date: | 10-Apr-2006 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 782 |
| Start Page: | 1 |
| End Page: | 24 |
| Abstract: | We study a mathematically rigorous derivation of a quantum mechanical Hamiltonian in a general framework. We derive such a Hamiltonian by taking a scaling limit for a generalization of the Nelson model, which is an abstract interaction model between particles and a Bose field with some internal degrees of freedom. Applying it to a model for the field of the nuclear force with an isospin, we obtain a Schrödinger Hamiltonian with a matrix valued potential, describing an effective interaction between nucleons. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69590 |
| 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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