Geodesic
Quantum problem of polaron localization and justification of the~Su--Schrieffer--Heeger approximation
Teoretičeskaâ i matematičeskaâ fizika, Tome 199 (2019) no. 2, pp. 283-290

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We consider a polaron localized on a trap in a one-dimensional lattice with a harmonic potential of nearest-neighbor interaction. We study the lattice oscillations in the framework of quantum mechanics and regard the polaron energy as a functional of the wave function. We take the electron–phonon interaction into account in the framework of the linear Su–Schrieffer–Heeger approximation. We show that the results do not differ from the adiabatic consideration if the lattice oscillations are described classically. For the polaron ground state, we obtain approximate analytic expressions that agree well with the results of numerical simulation.
Mots-clés : polaron
Keywords: tight-binding approximation. 
@article{TMF_2019_199_2_a7,
     author = {V. N. Likhachev and G. A. Vinogradov},
     title = {Quantum problem of polaron localization and justification of {the~Su--Schrieffer--Heeger} approximation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {283--290},
     publisher = {mathdoc},
     volume = {199},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2019_199_2_a7/}
}
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V. N. Likhachev; G. A. Vinogradov. Quantum problem of polaron localization and justification of the~Su--Schrieffer--Heeger approximation. Teoretičeskaâ i matematičeskaâ fizika, Tome 199 (2019) no. 2, pp. 283-290. http://geodesic.mathdoc.fr/item/TMF_2019_199_2_a7/