dorsal/arxiv
View SchemaAngular Momentum and Mutually Unbiased Bases
| Authors | M. R. Kibler |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510124 |
| URL | https://arxiv.org/abs/quant-ph/0510124 |
| DOI | 10.1142/S0217979206034297 |
| Journal | International Journal of Modern Physics B 20 (2006) 1792-1801 |
Abstract
The Lie algebra of the group SU(2) is constructed from two deformed oscillator algebras for which the deformation parameter is a root of unity. This leads to an unusual quantization scheme, the {J2,Ur} scheme, an alternative to the familiar {J2,Jz} quantization scheme corresponding to common eigenvectors of the Casimir operator J2 and the Cartan operator Jz. A connection is established between the eigenvectors of the complete set of commuting operators {J2,Ur} and mutually unbiased bases in spaces of constant angular momentum.
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"abstract": "The Lie algebra of the group SU(2) is constructed from two deformed\noscillator algebras for which the deformation parameter is a root of unity.\nThis leads to an unusual quantization scheme, the {J2,Ur} scheme, an\nalternative to the familiar {J2,Jz} quantization scheme corresponding to common\neigenvectors of the Casimir operator J2 and the Cartan operator Jz. A\nconnection is established between the eigenvectors of the complete set of\ncommuting operators {J2,Ur} and mutually unbiased bases in spaces of constant\nangular momentum.",
"arxiv_id": "quant-ph/0510124",
"authors": [
"M. R. Kibler"
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"doi": "10.1142/S0217979206034297",
"journal_ref": "International Journal of Modern Physics B 20 (2006) 1792-1801",
"title": "Angular Momentum and Mutually Unbiased Bases",
"url": "https://arxiv.org/abs/quant-ph/0510124"
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