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Perturbation of embedded eigenvalues : A general class of exactly soluble models in Fock spaces

Perturbation of embedded eigenvalues : A general class of exactly soluble models in Fock spaces

Perturbation problem of embedded eigenvalues is considered for operators with infinite degrees of freedom acting in the tensor product of L^{2}(R) and the Boson Fock space over a Hilbert space -A general class of operators for which the problem is "exactly soluble" is construct ed.In the case \mathscr{H}=L^{2}(R^{d}) , the …