dorsal/arxiv
View SchemaGeneralized Intelligent States for Nonlinear Oscillators
| Authors | A. H. El Kinani, M. Daoud |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312121 |
| URL | https://arxiv.org/abs/quant-ph/0312121 |
| DOI | 10.1142/S0217979201005702 |
| Journal | IJMPB, Vol 15, 2465-2483 (2001) |
Abstract
The construction of Generalized Intelligent States (GIS) for the $x^4$% -anharmonic oscillator is presented. These GIS families are required to minimize the Robertson-Schr\"odinger uncertainty relation. As a particular case, we will get the so-called Gazeau-Klauder coherent states. The properties of the latters are discussed in detail. Analytical representation is also considered and its advantage is shown in obtaining the GIS in an analytical way. Further extensions are finally proposed.
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"abstract": "The construction of Generalized Intelligent States (GIS) for the $x^4$%\n-anharmonic oscillator is presented. These GIS families are required to\nminimize the Robertson-Schr\\\"odinger uncertainty relation. As a particular\ncase, we will get the so-called Gazeau-Klauder coherent states. The properties\nof the latters are discussed in detail. Analytical representation is also\nconsidered and its advantage is shown in obtaining the GIS in an analytical\nway. Further extensions are finally proposed.",
"arxiv_id": "quant-ph/0312121",
"authors": [
"A. H. El Kinani",
"M. Daoud"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/S0217979201005702",
"journal_ref": "IJMPB, Vol 15, 2465-2483 (2001)",
"title": "Generalized Intelligent States for Nonlinear Oscillators",
"url": "https://arxiv.org/abs/quant-ph/0312121"
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