English

Comparison of variational and CSE methods to polaron ground-state energy

Other Condensed Matter 2007-05-23 v1

Abstract

Taking the same trial wave function, the ground-state energy of Fr\"{o}hlich polaron is investigated by variational method and coherent-state expansion (CSE) one, respectively. Within the accuracy to α2\alpha^{2}(the electron-phonon coupling constant), both methods can give the same analytic expressions of polaron ground-state energy as the function of electron-phonon coupling constant. We find that the CSE method can much simplify the calculation and shows more advantages in higher order approximations.

Keywords

Cite

@article{arxiv.cond-mat/0412515,
  title  = {Comparison of variational and CSE methods to polaron ground-state energy},
  author = {Qing Chen and Ke-Lin Wang and Yi Wang},
  journal= {arXiv preprint arXiv:cond-mat/0412515},
  year   = {2007}
}

Comments

6 pages, no figure