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Neidhardt H., Zagrebnov V.A.
On the right Hamiltonian for singular perturbations: general theory.
(70K, LateX)
ABSTRACT. We show that,using the notion of the maximal(with respect to perturbation)
Friedrichs extension of unperturbed operator, one can classify the problem
of construction of the ``right Hamiltonian''as well-posed or ill-posed in
dependence on the intersection of the quadratic form domain of perturbation
and deficiency subspace corresponding to restriction of unperturbed operator
to stability domain.