dorsal/arxiv
View SchemaBargmann representation for some deformed harmonic oscillators with non-Fock representation
| Authors | M. Irac-Astaud, G. Rideau |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9703009 |
| URL | https://arxiv.org/abs/q-alg/9703009 |
Abstract
We prove that Bargmann representations exist for some deformed harmonic oscillators that admit non-Fock representations. In specific cases, we explicitly obtain the resolution of the identity in terms of a true integral on the complex plane. We prove on explicit examples that Bargmann representations cannot always be found, particularly when the coherent states do not exist in the whole complex plane.
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"abstract": "We prove that Bargmann representations exist for some deformed harmonic\noscillators that admit non-Fock representations. In specific cases, we\nexplicitly obtain the resolution of the identity in terms of a true integral on\nthe complex plane. We prove on explicit examples that Bargmann representations\ncannot always be found, particularly when the coherent states do not exist in\nthe whole complex plane.",
"arxiv_id": "q-alg/9703009",
"authors": [
"M. Irac-Astaud",
"G. Rideau"
],
"categories": [
"q-alg",
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],
"title": "Bargmann representation for some deformed harmonic oscillators with non-Fock representation",
"url": "https://arxiv.org/abs/q-alg/9703009"
},
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