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Interaction of an Extra Electron with Optical Phonons in Long Molecular Chains and Ionic Crystals

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Davydov’s Soliton Revisited

Part of the book series: NATO ASI Series ((NSSB,volume 243))

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Abstract

After Davydov pioneer paper [I] on the energy transfer in biological systems the attention of investigators was drawn to different problems of electron-phonon interaction in molecular chains [2, 3]. The effect of acoustic phonons with the dispersion law

$$ \Omega \left( k \right) = kV_{ac} $$
((1.1))

on the motion of an extra electron (and exciton) in a one dimensional molecular chain was studied by Davydov [4–6]. It was shown that the stable motion of electron (exciton) with velocities less than a constant group velocity Vac of a longtudinal sound is accompanied by a local chain deformation, and the motion of this collective deformation is described by a solitary wave which does not change its form and velocity. This wave, called as soliton, can travel only with the speed less than the sound velocity Vac.

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References

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Enol’skii, V.Z. (1990). Interaction of an Extra Electron with Optical Phonons in Long Molecular Chains and Ionic Crystals. In: Christiansen, P.L., Scott, A.C. (eds) Davydov’s Soliton Revisited. NATO ASI Series, vol 243. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9948-4_13

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  • DOI: https://doi.org/10.1007/978-1-4757-9948-4_13

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9950-7

  • Online ISBN: 978-1-4757-9948-4

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