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Comments on polaron–phonon scattering theory

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Abstract

We use the polaron state function described in terms of coupled classical and quantum fields to calculate the cross section of phonon scattering on a polaron. The value of the resonance momentum is determined by asymptotic values of several integrals. Calculating them with crystal parameters taken into account leads to bounds on the maximum value of the coupling constant. We confirm that the applicability domain of the strong-coupling approximation is near zero.

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Correspondence to A. V. Tulub.

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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 185, No. 1, pp. 199–212, October, 2015.

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Tulub, A.V. Comments on polaron–phonon scattering theory. Theor Math Phys 185, 1533–1546 (2015). https://doi.org/10.1007/s11232-015-0363-2

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