A Mann and R Parthasarathy 1996 J. Phys. A: Math. Gen. 29 427 doi:10.1088/0305-4470/29/2/020
and quantum Wigner d-functions
A Mann and R Parthasarathy
Show affiliationsMinimum uncertainty angular momentum states for the quantum group
are constructed. They involve the eigenvalues of
which are q-numbers and the quantum group analogue of the Wigner d-functions for
. The result is generalized for all values of
and a formula for the quantum Wigner d-function is derived. The case of q = 1 is discussed and compared with the well known results for the Wigner d-functions.
81S30 Phase space methods including Wigner distributions, etc.
81R50 Quantum groups and related algebraic methods (See also 16W35, 17B37)
Issue 2 (21 January 1996)
Received 4 July 1995, in final form 3 October 1995
and quantum Wigner d-functions
A Mann and R Parthasarathy 1996 J. Phys. A: Math. Gen. 29 427
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