Feynman's path-integral polaron treatment approached using time-ordered operator calculus
arXiv:1008.3881 · doi:10.1016/j.ssc.2010.11.003
Abstract
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.
6 pages, 2 figures, to appear in Solid State Communications, presented at the 10th International Conference "Path Integrals - 2010", July 11 - 16, 2010, Washington DC, USA