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Anticommutativity and spin 1/2 Schrdinger operators with magnetic fields
| Title: | Anticommutativity and spin 1/2 Schrdinger operators with magnetic fields |
| Authors: | Ogurisu, O. Browse this author |
| Issue Date: | 1-Feb-1996 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 329 |
| Start Page: | 1 |
| End Page: | 12 |
| Abstract: | It is proven that the spin 1/2 Schrodinger operator iI with a constant magnetic field is the square of a sum of mutually strongly anticommuting self-adjoint operators. As an application, by using this formula, the essential spectrum of iI with a vector potential in a class is identified. The class contains a vector potential to which Shigekawa's theorem (I. Shigekawa, J. Funct. Anal., 101:255-285, 1991) cannot be applied. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69079 |
| 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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