Geodesic
Band structure of the spectra of Hamiltonians of regular polynucleotide duplexes
Teoretičeskaâ i matematičeskaâ fizika, Tome 176 (2013) no. 3, pp. 429-443 Cet article a éte moissonné depuis la source Math-Net.Ru

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We calculate the band structure of the spectra of Hamiltonians of regular DNA duplexes and show that in single-stranded periodic polynucleotides whose period is determined by the number $m$ of nucleotides in an elementary cell, the spectrum consists of $m$ nonintersecting energy bands. In DNA duplexes, the number of energy bands is equal to $2m$, and the bands can intersect. Discrete energy levels can be present in forbidden bands in the case of (semi)bounded chains or duplexes.
Keywords: block three-diagonal matrix, DNA, Schrödinger equation, Tamm level. 
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V. D. Lakhno; V. B. Sultanov. Band structure of the spectra of Hamiltonians of regular polynucleotide duplexes. Teoretičeskaâ i matematičeskaâ fizika, Tome 176 (2013) no. 3, pp. 429-443. http://geodesic.mathdoc.fr/item/TMF_2013_176_3_a7/

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