A Special Class of Infinite Dimensional Dirac Operators on the Abstract Boson-Fermion Fock Space

Spectral properties of a special class of infinite dimensional Dirac operators Q(α) on the abstract boson-fermion Fock space ℱ(ℋ,𝒦) associated with the pair (ℋ,𝒦) of complex Hilbert spaces are investigated, where α∈C is a perturbation parameter (a coupling constant in the context of physics) and the...

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Bibliographic Details
Main Author: Asao Arai
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2014/713690