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On the Problem of the Existence of Davydov Solitons
Author(s) -
Todorović D.,
Ristovski Lj.,
Tošić B. S.
Publication year - 1995
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221900133
Subject(s) - hamiltonian (control theory) , physics , soliton , chain (unit) , energy transport , exciton , quantum mechanics , condensed matter physics , mathematical physics , mathematics , engineering physics , nonlinear system , mathematical optimization
Davydov's soliton model, which introduces autolocalised excitations in a soft molecular chain, is applied also for explaining the energy transport process in the α‐helix protein being considered as a system consisting of three coupled molecular chains (spines). However, there is an inconsistency in the consideration of the single chain case compared to the case of coupled chains (α‐helix). Namely, in the Hamiltonian of the single molecular chain some relevant exciton‐photon terms are omitted which are, on the other hand, included in the Hamiltonian of the coupled chains. Our numerical analysis shows that the omitted term can have a very important influence on the soliton properties in Davydov's model.