Divergence of the effective mass of a polaron in the strong coupling limit

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Elliott H. Lieb , Robert Seiringer This is my paper · ORCID

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keywords couplingeffectivelimitmasspolaronstrongconsiderdivergence

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We consider the Fr\"ohlich model of a polaron, and show that its effective mass diverges in the strong coupling limit.

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Effective mass of the polaron -- revisited
math-ph 2019-08 accept novelty 7.0 of 10

The paper rigorously proves (m_eff)^-1 = sigma^2 > 0 for polaron-type models with UV cutoff, and for the Fröhlich polaron outside an intermediate coupling range, using spectral theory and central limit theorems.