English

On the ground-state wave function of the one-dimensional polaron in the strong-coupling limit

Mathematical Physics 2015-05-20 v1 math.MP

Abstract

We consider the one-dimensional Froehlich polaron localized in a symmetric decreasing electric potential. It is known that the non-linear Pekar functional corresponding to our model admits a unique minimizer. In the strong-coupling limit, we show that any approximate ground-state wave function of our model- after integrating out its phonon modes- converges in the weak sense to this unique minimizer.

Keywords

Cite

@article{arxiv.1505.04830,
  title  = {On the ground-state wave function of the one-dimensional polaron in the strong-coupling limit},
  author = {Rohan Ghanta},
  journal= {arXiv preprint arXiv:1505.04830},
  year   = {2015}
}

Comments

15 pages