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arXiv:1206.3386 · Solid State Communications

On the cutoff parameter in the translation-invariant theory of the strong coupling polaron (response to comments [8] on the paper V.D. Lakhno, SSC 152 (2012) 621)

Victor Dmitrievich Lakhno

Published Jul 27, 2012• 8 citations
arXivHTMLPDF
DOI
10.1016/j.ssc.2012.07.019

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The present work is a reply to the paper [1]. It is proven that the argumentation of Refs. [1] is inconsistent. The variational functional for the polaron ground state energy considered in Ref. [1] contains an incomplete recoil energy. Since the variational functional of Ref. [1] is incomplete, it is not proven to provide a variational upper bound for the polaron ground-state energy. The same conclusion follows also for the bipolaron ground-state energy.

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On the term of the 4-th order with respect to the field operators in the translation-invariant polaron theory

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It is shown that 4-th order term in the translation-invariant polaron theory vanishes.

arXiv:1510.05865•Oct 20, 2015•0 citations