The Thermodynamic Limit of Quantum Coulomb Systems. Part I. General Theory
| dc.creator | Hainzl, Christian | |
| dc.creator | Lewin, Mathieu | |
| dc.creator | Solovej, Jan Philip | |
| dc.date | 2008-06-10 | |
| dc.date | 2008-12-20 | |
| dc.date.accessioned | 2026-07-07T12:20:36Z | |
| dc.date.available | 2026-07-07T12:20:36Z | |
| dc.description | This article is the first in a series dealing with the thermodynamic properties of quantum Coulomb systems. In this first part, we consider a general real-valued function $E$ defined on all bounded open sets of $\R^3$. Our aim is to give sufficient conditions such that $E$ has a thermodynamic limit. This means that the limit $E(Ω_n)|Ω_n|^{-1}$ exists for all `regular enough' sequence $Ω_n$ with growing volume, $|Ω_n|\to\ii$, and is independent of the considered sequence. The sufficient conditions presented in our work all have a clear physical interpretation. In the next paper, we show that the free energies of many different quantum Coulomb systems satisfy these assumptions, hence have a thermodynamic limit. | |
| dc.description | Final version to appear in Advances in Mathematics | |
| dc.identifier | https://arxiv.org/abs/0806.1708 | |
| dc.identifier | http://arxiv.org/abs/0806.1708 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213109 | |
| dc.subject | Mathematical Physics | |
| dc.title | The Thermodynamic Limit of Quantum Coulomb Systems. Part I. General Theory | |
| dc.type | text |