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Existence and structure of infinitely degenerate zero-energy ground states of a Wess-Zumino type model in supersymmetric quantum mechanics

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83323

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
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

Submitter: 数学紀要登録作業用

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