Feynman's path-integral polaron treatment approached using time-ordered operator calculus

Details Feynman's path-integral polaron treatment approached using time-ordered operator calculus Feynman's path-integral polaron treatment approached using time-ordered operator calculus

2010-08-23

arxiv.org/abs/1008.3881v2

Physics

Condensed Matter

Other Condensed Matter

6 pages, 2 figures, to appear in Solid State Communications, presented at the 10th International Conference "Path Integrals -

Scientific paper

The Feynman all-coupling variational approach for the polaron is re-formulated and extended using the Hamiltonian formalism with time-ordered operator calculus. Special attention is devoted to the excited polaron states. The energy levels and the inverse lifetimes of the excited polaron states are, for the first time, explicitly derived within this all-coupling approach. Remarkable agreement of the obtained transition energies with the peak positions of the polaron optical conductivity calculated using diagrammatic quantum Monte Carlo is obtained.

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