Representations of quantum SU(2) operators on a local chart

23rd International Conference on Integrable Systems and Quantum Symmetries

Wagner, Elmar^1

Instituto de Física y Matemáticas, Universidad Michoacana, Cd. Universitaria, Mich., Morelia

58040, Mexico^1

关键词: Multiplication operators;    Non-commutative;    Partial derivatives;    Quantum discs;    Square integrable;    Tensor products;    Unit circles;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/670/1/012053/pdf
DOI  :  10.1088/1742-6596/670/1/012053

来源: IOP

【 摘 要 】

Hilbert space representations of quantum SU(2) by multiplication operators on a local chart are constructed, where the local chart is given by tensor products of square integrable functions on a quantum disc and on the classical unit circle. The actions of generators of quantum SU(2), generators of the opposite algebra, and noncommutative partial derivatives are computed on a Hilbert space basis.