Existence of infinitely many zero-energy states in a model of supersymmetric quantum mechanics

Arai, Asao

Journal of Mathematical Physics, 1989, 30(5), 1164-1170

Permalink : https://hdl.handle.net/2115/13681

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アクセス権	open access
URI	https://hdl.handle.net/2115/13681
タイトル	Existence of infinitely many zero-energy states in a model of supersymmetric quantum mechanics
著者	e-Rad_Researcher 80134807 著者名 Arai, Asao
言語	英語
キーワード	supersymmetry
	quantum mechanics
	polynomials
	uses
	nuclear physics
	atomic physics
発行日	1989-05
出版者	American Institute of Physics
収録物名	Journal of Mathematical Physics
巻(号)	30(5)
ページ	1164-1170
抄録	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.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
権利情報	Copyright © 1989 American Institute of Physics
PISSN	0022-2488
EISSN	1089-7658
関連情報	URI http://www.aip.org/
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.1063/1.528337