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Hokkaido University Preprint Series in Mathematics >
Diamagnetic Inequalities for Systems of Nonrelativistic Particles with a Quantized Field
| Title: | Diamagnetic Inequalities for Systems of Nonrelativistic Particles with a Quantized Field |
| Authors: | Hiroshima, F. Browse this author |
| Issue Date: | 1-Jun-1995 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 297 |
| Start Page: | 1 |
| End Page: | 23 |
| Abstract: | By unitary transformations (gauge transformation, Bogoliubov transformation) and the strong Trotter product formula, diamagnetic inequalities for the Pauli-Fierz model of QED and the Nelson model are derived. In the Nelson model, the unitary transformation defines effective potentials. Moreover, the infimum of the spectrum of Hamiltonians for these models are estimated and some abstract Kata's inequalities are obtained. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69048 |
| 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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