Coadjoint orbits of the Poincaré group in \(2+1\) dimensions and their coherent states (Q2906233)
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scientific article; zbMATH DE number 6077266
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Coadjoint orbits of the Poincaré group in \(2+1\) dimensions and their coherent states |
scientific article; zbMATH DE number 6077266 |
Statements
5 September 2012
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Poincaré group
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coadjoint orbits
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coherent states
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math-ph
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math.MP
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Coadjoint orbits of the Poincaré group in \(2+1\) dimensions and their coherent states (English)
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The authors use a matrix representation of the \({2+}1\) Poincaré group \(G={\mathbb R}^{2,1}\rtimes SO(2,1)\) in order to study the structure of the coadjoint orbits of \(G\). They obtain a degenerate orbit, a two-sheeted hyperboloid and a cone. The results are applied to compute coherent states, in particular, on the hyperboloid and on the cone.
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