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Angular Momentum and Mutually Unbiased Bases

M. R. Kibler
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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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M. R. Kibler. 2005-10-17. Angular Momentum and Mutually Unbiased Bases. https://doi.org/10.1142/s0217979206034297

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