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Band structure of the spectra of Hamiltonians of regular polynucleotide duplexes

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Abstract

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.

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Authors and Affiliations

  1. Institute for Mathematical Problems in Biology, RAS, Pushchino, Moscow Oblast, Russia

    V. D. Lakhno & V. B. Sultanov

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  1. V. D. Lakhno
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  2. V. B. Sultanov
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Correspondence to V. D. Lakhno.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 176, No. 3, pp. 429–443, September 2013.

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Lakhno, V.D., Sultanov, V.B. Band structure of the spectra of Hamiltonians of regular polynucleotide duplexes. Theor Math Phys 176, 1194–1206 (2013). https://doi.org/10.1007/s11232-013-0100-7

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  • DOI: https://doi.org/10.1007/s11232-013-0100-7

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