Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians

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dc.creatorGuseinov, Gusein Sh.
dc.date2009-02-14
dc.date.accessioned2026-07-07T12:42:06Z
dc.date.available2026-07-07T12:42:06Z
dc.descriptionIn this paper, the concept of generalized spectral function is introduced for finite-order tridiagonal symmetric matrices (Jacobi matrices) with complex entries. The structure of the generalized spectral function is described in terms of spectral data consisting of the eigenvalues and normalizing numbers of the matrix. The inverse problems from generalized spectral function as well as from spectral data are investigated. In this way, a procedure for construction of complex tridiagonal matrices having real eigenvalues is obtained.
dc.identifierhttps://arxiv.org/abs/0902.2464
dc.identifierhttp://arxiv.org/abs/0902.2464
dc.identifierSIGMA 5 (2009), 018, 28 pages
dc.identifierdoi:10.3842/SIGMA.2009.018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219962
dc.subjectSpectral Theory
dc.subjectClassical Analysis and ODEs
dc.subjectQuantum Physics
dc.titleInverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians
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