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Existence and structure of infinitely degenerate zero-energy ground states of a Wess-Zumino type model in supersymmetric quantum mechanics
| Title: | Existence and structure of infinitely degenerate zero-energy ground states of a Wess-Zumino type model in supersymmetric quantum mechanics |
| 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: | 179 |
| Start Page: | 1 |
| End Page: | 26 |
| Abstract: | It is known that the N =2 Wess-Zumino supersymmetric quantum mechanical model with the superpotential V(z) = >.eaz (>. E C \ {O}, a > 0) has infinitely many bosonic zeroenergy ground states and no fermionic zero-energy ground states [A. Arai, J. Math. Phys. 30 (1989), 1164]. In this paper, we extend these results to a more general model. The main results include the following: (1) identification of the spectra of the Hamiltonian H of the model; (2) non-Fredholmness of a supercharge of the model, which is a Dirac type operator; (3) existence of infinitely many bosonic zero-energy states of H; ( 4) non-existence of fermionic zero-energy states of H. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/68925 |
| 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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