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Spectral analysis of the Direct Sum Hamiltonian Operators

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dc.creator Ugurlu, Ekin
dc.creator Allahverdiev, Bilender
dc.date 2016-09-30T21:00:00Z
dc.date.accessioned 2020-10-06T11:25:25Z
dc.date.available 2020-10-06T11:25:25Z
dc.identifier d8a7833f-3e28-4af0-a142-0e419334a9e2
dc.identifier 10.2989/16073606.2015.1134697
dc.identifier https://avesis.sdu.edu.tr/publication/details/d8a7833f-3e28-4af0-a142-0e419334a9e2/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/73413
dc.description In this paper we investigate the deficiency indices theory and the selfad-joint and nonselfadjoint (dissipative, accumulative) extensions of the minimal symmetric direct sum Hamiltonian operators. In particular using the equivalence of the Lax-Phillips scattering matrix and the Sz.-Nagy-Foias characteristic function, we prove that all root (eigen and associated) vectors of the maximal dissipative extensions of the minimal symmetric direct sum Hamiltonian operators are complete in the Hilbert spaces.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title Spectral analysis of the Direct Sum Hamiltonian Operators
dc.type info:eu-repo/semantics/article


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