Abstract:Spectral properties of a special class of infinite dimensional Dirac operators ( ) on the abstract boson-fermion Fock space F(H, K) associated with the pair (H, K) of complex Hilbert spaces are investigated, where ∈ C is a perturbation parameter (a coupling constant in the context of physics) and the unperturbed operator (0) is taken to be a free infinite dimensional Dirac operator. A variety of the kernel of ( ) is shown. It is proved that there are cases where, for all sufficiently large | | with < 0, ( ) ha… Show more
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