dorsal/arxiv
View SchemaSupercoherent States of Calogero-Sutherland Oscillator
| Authors | Vladislav G. Bagrov, Boris F. Samsonov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9804067 |
| URL | https://arxiv.org/abs/quant-ph/9804067 |
Abstract
Supersymmetric quantum mechanical model of Calogero-Sutherlend singular oscillator is constructed. Supercoherent states are defined with the help of supergroup displacement operator. They are proper states of a fermionic annihilation operator. Their coordinate and superholomorphic representations are considered. The supermeasure on superunit disc which realizes the resolution of the unity is calculated. The cases of exact and spontaneously broken supersymmetry are treated separately. As an example the supersymmetric partners of the input Hamiltonian expressed in terms of elementary functions are given.
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"abstract": "Supersymmetric quantum mechanical model of Calogero-Sutherlend singular\noscillator is constructed. Supercoherent states are defined with the help of\nsupergroup displacement operator. They are proper states of a fermionic\nannihilation operator. Their coordinate and superholomorphic representations\nare considered. The supermeasure on superunit disc which realizes the\nresolution of the unity is calculated. The cases of exact and spontaneously\nbroken supersymmetry are treated separately. As an example the supersymmetric\npartners of the input Hamiltonian expressed in terms of elementary functions\nare given.",
"arxiv_id": "quant-ph/9804067",
"authors": [
"Vladislav G. Bagrov",
"Boris F. Samsonov"
],
"categories": [
"quant-ph"
],
"title": "Supercoherent States of Calogero-Sutherland Oscillator",
"url": "https://arxiv.org/abs/quant-ph/9804067"
},
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