Wigner crystallization in the quantum 1D jellium at all densities (Q406656)
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scientific article; zbMATH DE number 6341602
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Wigner crystallization in the quantum 1D jellium at all densities |
scientific article; zbMATH DE number 6341602 |
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Wigner crystallization in the quantum 1D jellium at all densities (English)
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9 September 2014
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The jellium (model) has been introduced by Wigner to study gas of electrons, and here the authors deal with one-dimensional quantum jellium which describes uniformly charged parallel sheets moving possibly in the transverse direction. The main result of the paper is to prove crystallization for the quantum one-dimensional jellium at all densities and to this end they use the Krein-Rutman theorem applied to a transfer operator.
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jellium
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gas of electrons
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symmetry breaking
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density matrix
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path integral
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