2022-05-20T21:37:43Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/689252018-04-25T23:44:04Zhdl_2115_45007hdl_2115_116Existence and structure of infinitely degenerate zero-energy ground states of a Wess-Zumino type model in supersymmetric quantum mechanicsOgurisu, O.410It 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.Departmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/68925info:doi/10.14943/83323https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/68925/1/pre179.pdfHokkaido University Preprint Series in Mathematics1791261993-01engpublisher