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The Thermodynamic Limit of Quantum Coulomb Systems Part I. General Theory

By Christian Hainzl A, Mathieu Lewin B and Jan Philip Solovej C


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(Ωn)|Ωn | −1 exists for all ‘regular enough ’ sequence Ωn with growing volume, |Ωn | → ∞, 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

Year: 2008
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