dorsal/arxiv
View SchemaGeneralized intelligent states and SU(1,1) and SU(2) squeezing
| Authors | D. A. Trifonov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0001028 |
| URL | https://arxiv.org/abs/quant-ph/0001028 |
Abstract
A sufficient condition for a state |\psi> to minimize the Robertson-Schr\"{o}dinger uncertainty relation for two observables A and B is obtained which for A with no discrete spectrum is also a necessary one. Such states, called generalized intelligent states (GIS), exhibit arbitrarily strong squeezing (after Eberly) of A and B. Systems of GIS for the SU(1,1) and SU(2) groups are constructed and discussed. It is shown that SU(1,1) GIS contain all the Perelomov coherent states (CS) and the Barut and Girardello CS while the Bloch CS are subset of SU(2) GIS.
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"abstract": "A sufficient condition for a state |\\psi\u003e to minimize the\nRobertson-Schr\\\"{o}dinger uncertainty relation for two observables A and B is\nobtained which for A with no discrete spectrum is also a necessary one. Such\nstates, called generalized intelligent states (GIS), exhibit arbitrarily strong\nsqueezing (after Eberly) of A and B. Systems of GIS for the SU(1,1) and SU(2)\ngroups are constructed and discussed. It is shown that SU(1,1) GIS contain all\nthe Perelomov coherent states (CS) and the Barut and Girardello CS while the\nBloch CS are subset of SU(2) GIS.",
"arxiv_id": "quant-ph/0001028",
"authors": [
"D. A. Trifonov"
],
"categories": [
"quant-ph"
],
"title": "Generalized intelligent states and SU(1,1) and SU(2) squeezing",
"url": "https://arxiv.org/abs/quant-ph/0001028"
},
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