Geodesic
Proton-phonon interaction in ferroelectrics with hydrogen bonds (strong coupling approximation)
Teoretičeskaâ i matematičeskaâ fizika, Tome 9 (1971) no. 3, pp. 431-439 
I. V. Stasyuk. Proton-phonon interaction in ferroelectrics with hydrogen bonds (strong coupling approximation). Teoretičeskaâ i matematičeskaâ fizika, Tome 9 (1971) no. 3, pp. 431-439. http://geodesic.mathdoc.fr/item/TMF_1971_9_3_a12/
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     author = {I. V. Stasyuk},
     title = {Proton-phonon interaction in ferroelectrics with hydrogen bonds (strong coupling approximation)},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {431--439},
     year = {1971},
     volume = {9},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1971_9_3_a12/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The role of the proton-phonon interaction in a crystal of a $\mathrm{KH_2PO_4}$ type is investigated in the strong coupling case. It is shown that the quasipolaron effect causes a renormalization of the tunneling frequency of the protons, in such a way that the latter decreases with the increasing of temperature. An expression for the self-consistent optical phonon frequencies is obtained. The spectrum of coupled proton-phonon vibrations is considered.

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