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Angular Momentum and Mutually Unbiased Bases

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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Contributor : Maurice Robert Kibler <>
Submitted on : Sunday, October 16, 2005 - 4:51:43 PM
Last modification on : Thursday, March 26, 2020 - 4:37:41 PM
Long-term archiving on: : Thursday, April 1, 2010 - 10:45:21 PM

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M. R. Kibler. Angular Momentum and Mutually Unbiased Bases. International Journal of Modern Physics B, World Scientific Publishing, 2006, 20, pp.1792-1801. ⟨10.1142/S0217979206034297⟩. ⟨in2p3-00024887⟩

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