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Ground state of a spin 1/2 charged particle in an even dimensional magnetic field
| Title: | Ground state of a spin 1/2 charged particle in an even dimensional magnetic field |
| Authors: | Ogurisu, O. Browse this author |
| Issue Date: | Jan-1993 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 180 |
| Start Page: | 1 |
| End Page: | 9 |
| Abstract: | We investigate the ground state structure of the Schrodinger operator (Pauli Hamiltonian) H with a magnetic field b for a spin 1/2 particle in 2d ,...., Cd . We consider the case where bis given by the complex exterior derivative of a function W on Cd of the form = i( 8 + 8)( 8 8)W. We found that dim ker H is related to the asymptotic behavior of W at infinity. More precisely, if there exists a constant C E such that W ( z) rv -C log I z I as z -, oo, then dim ker H is equal to the number of all monomials f in d variables such that the deg;ree off is smaller than ICI - d. Moreover we clarify the structure of ker H. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/68926 |
| 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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