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Existence of infinitely many zero-energy states in a model of supersymmetric quantum mechanics
| Title: | Existence of infinitely many zero-energy states in a model of supersymmetric quantum mechanics |
| Authors: | Arai, Asao Browse this author →KAKEN DB |
| Keywords: | supersymmetry | | quantum mechanics | | polynomials | | uses | | nuclear physics | | atomic physics |
| Issue Date: | May-1989 |
| Publisher: | American Institute of Physics |
| Journal Title: | Journal of Mathematical Physics |
| Volume: | 30 |
| Issue: | 5 |
| Start Page: | 1164 |
| End Page: | 1170 |
| Publisher DOI: | 10.1063/1.528337 |
| Abstract: | The general framework of the N=2 Wess–Zumino holomorphic supersymmetric quantum mechanics with polynomial superpotentials is extended to the case of nonpolynomial superpotentials V(z) (z∈C) in a mathematically rigorous way. It is also proved that there exist no fermionic zero-energy states. Under some conditions for V, the operator domain of the supercharges and the supersymmetric Hamiltonian are identified. As an example, the model with V(z)=λeαz (λ∈C＼{0}, α>0) is analyzed in view of index theory. The following remarkable result is proved: There exist infinitely many bosonic zero-energy states which are localized in the momentum space dual to the Im z direction. The results are applied to two models in atomic and nuclear physics. |
| Rights: | Copyright © 1989 American Institute of Physics |
| Relation: | http://www.aip.org/ |
| Type: | article |
| URI: | http://hdl.handle.net/2115/13681 |
| 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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