Ground state properties of multi-polaron systems

R. L. Frank; E. H. Lieb; R. Seiringer; L. E. Thomas

doi:10.1142/9789814449243_0045

Ground state properties of multi-polaron systems

R. L. Frank, E. H. Lieb, R. Seiringer, L. E. Thomas

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

6 Scopus citations

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.

Original language	English (US)
Title of host publication	XVIIth International Congress on Mathematical Physics
Subtitle of host publication	Aalborg, Denmark, 6-11 August 2012
Publisher	World Scientific Publishing Co.
Pages	477-485
Number of pages	9
ISBN (Electronic)	9789814449243
ISBN (Print)	9789814449236
DOIs	https://doi.org/10.1142/9789814449243_0045
State	Published - Jan 1 2013

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Keywords

Binding energies
Coulomb system
Polaron
Stability

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10.1142/9789814449243_0045

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keywords = "Binding energies, Coulomb system, Polaron, Stability",

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T1 - Ground state properties of multi-polaron systems

AU - Frank, R. L.

AU - Lieb, E. H.

AU - Seiringer, R.

AU - Thomas, L. E.

PY - 2013/1/1

Y1 - 2013/1/1

N2 - 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.

AB - 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.

KW - Binding energies

KW - Coulomb system

KW - Polaron

KW - Stability

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EP - 485

BT - XVIIth International Congress on Mathematical Physics

PB - World Scientific Publishing Co.

ER -

Ground state properties of multi-polaron systems

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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