Erratum: Exact Ground State Energy of the Strong-Coupling Polaron

Details Erratum: Exact Ground State Energy of the Strong-Coupling Polaron Erratum: Exact Ground State Energy of the Strong-Coupling Polaron

1995-12-14

arxiv.org/abs/cond-mat/9512112v3

Commun.Math.Phys. 183 (1997) 511-520; Erratum-ibid. 188 (1997) 499-500

Physics

Condensed Matter

13 pages, LateX. This version includes an erratum concerning the ultra-violet bound appearing in the published article

Scientific paper

10.1007/s002200050040

The polaron has been of interest in condensed matter theory and field theory for about half a century, especially the limit of large coupling constant. It was not until 1983, however, that a proof of the asymptotic formula for the ground state energy was finally given by using difficult arguments involving the large deviation theory of path integrals. Here we derive the same asymptotic result and with explicit error bounds, by simple, rigorous methods applied directly to the Hamiltonian. Our method is easily generalizable to other settings, e.g., the excitonic and magnetic polarons. This version of the article includes an erratum concerning the ultra-violet bound given in the published article. The erratum is to appear in the same journal.

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