English

Ground state properties of multi-polaron systems

Mathematical Physics 2012-09-18 v1 Strongly Correlated Electrons Analysis of PDEs math.MP

Abstract

We summarize our recent results on the ground state energy of multi-polaron systems. In particular, we discuss stability and existence of the thermodynamic limit, and we discuss the absence of binding in the case of large Coulomb repulsion and the corresponding binding-unbinding transition. We also consider the Pekar-Tomasevich approximation to the ground state energy and we study radial symmetry of the ground state density.

Keywords

Cite

@article{arxiv.1209.3717,
  title  = {Ground state properties of multi-polaron systems},
  author = {Rupert L. Frank and Elliott H. Lieb and Robert Seiringer and Lawrence E. Thomas},
  journal= {arXiv preprint arXiv:1209.3717},
  year   = {2012}
}

Comments

Contribution to the proceedings of ICMP12, Aalborg, Denmark, August 6--11, 2012; 8 pages