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A scaling limit of a Hamiltonian of many nonrelativistic particles interacting with a quantized radiation field
| Title: | A scaling limit of a Hamiltonian of many nonrelativistic particles interacting with a quantized radiation field |
| Authors: | Hiroshima, F. Browse this author |
| Issue Date: | 1-May-1996 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 338 |
| Start Page: | 1 |
| End Page: | 34 |
| Abstract: | 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. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69088 |
| 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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