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Meromorphic N=2 Wess-Zumino supersymmetric quantum mechanics
| Title: | Meromorphic N=2 Wess-Zumino supersymmetric quantum mechanics |
| Authors: | Arai, Asao Browse this author →KAKEN DB | | Ogurisu, Osamu Browse this author |
| Keywords: | supersymmetry | | quantum mechanics | | potentials | | functions | | hamiltonians | | fermions | | bosons | | ground states | | fredholm equation |
| Issue Date: | Sep-1991 |
| Publisher: | American Institute of Physics |
| Journal Title: | Journal of Mathematical Physics |
| Volume: | 32 |
| Issue: | 9 |
| Start Page: | 2427 |
| End Page: | 2434 |
| Publisher DOI: | 10.1063/1.529170 |
| Abstract: | The ordinary (holomorphic) N=2 Wess–Zumino model in supersymmetric quantum mechanics is extended to the case where the superpotential V(z) is a meromorphic function on C∪{∞}. The extended model is analyzed in a mathematically rigorous way. Self-adjoint extensions and the essential self-adjointness of the supercharges are discussed. The supersymmetric Hamiltonian defined by one of the self-adjoint extensions of the supercharges has no fermionic zero-energy states ("vanishing theorem"). It is proven that if V(z) has only one pole at z=0 in C, then the supercharges are essentially self-adjoint on C<sup>∞</sup><sub>0</sub>(R^2＼{0};C^4). The special case where V(z)=λz^(–p)(p∈N,λ∈C＼{0}) is analyzed in detail to prove the following facts: (i) the number of the bosonic zero-energy ground state(s) is equal to p–1; (ii) the supercharges are not Fredholm. |
| Rights: | Copyright © 1991 American Institute of Physics |
| Relation: | http://www.aip.org/ |
| Type: | article |
| URI: | http://hdl.handle.net/2115/13676 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 新井 朝雄
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