Band structure of the~spectra of Hamiltonians of regular polynucleotide duplexes
Teoretičeskaâ i matematičeskaâ fizika, Tome 176 (2013) no. 3, pp. 429-443
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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.
@article{TMF_2013_176_3_a7,
author = {V. D. Lakhno and V. B. Sultanov},
title = {Band structure of the~spectra of {Hamiltonians} of regular polynucleotide duplexes},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {429--443},
publisher = {mathdoc},
volume = {176},
number = {3},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2013_176_3_a7/}
}
TY - JOUR AU - V. D. Lakhno AU - V. B. Sultanov TI - Band structure of the~spectra of Hamiltonians of regular polynucleotide duplexes JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2013 SP - 429 EP - 443 VL - 176 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2013_176_3_a7/ LA - ru ID - TMF_2013_176_3_a7 ER -
%0 Journal Article %A V. D. Lakhno %A V. B. Sultanov %T Band structure of the~spectra of Hamiltonians of regular polynucleotide duplexes %J Teoretičeskaâ i matematičeskaâ fizika %D 2013 %P 429-443 %V 176 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2013_176_3_a7/ %G ru %F TMF_2013_176_3_a7
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/