Spectral problem for solvable model of bent nano peapod. Issue 2 (25th January 2017)

• Record Type: Journal Article
• Authors: Melikhova, A. S.; Popov, I. Yu.
• Is Part Of: Applicable analysis. Volume 96:Issue 2(2017)
• Page Start: 215
• Page End: 224
• Publication Date: 2017-01-25
• Subjects: Spectrum -- theory of extensions -- self-adjoint operator -- transfer-matrix; 81Q10 -- 81Q35; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2015.1120289
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : The spectral problems for straight and bent chains of weakly coupled conglobate resonators are considered. The band structure of the continuous spectrum is described for the system of straight-type chain. For the bent chain, it is proved that the Hamiltonian has negative eigenvalue for some value of the model parameters and eigenvalues in gaps of the continuous spectrum.