Affiliation:
1. Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, USA
Abstract
The polynomials discovered by Chebyshev and subsequently related to spin transition probabilities by Meckler [Meckler, Phys. Rev. 111, 1447 (1958)] and Mermin and Schwarz [Found. Phys. 12, 101 (1982)] are studied, and their application to phase space representations of spin states and operators is examined. In particular, a formula relating the end-point value of the polynomials to scale factors relating different phase space representations of spherical harmonic operators is found. This formula is applied to illustrative calculations of Wigner functions for a single spin and the singlet state of a pair of spins.
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Cited by
1 articles.
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1. Spherical bispectrum expansion and quadratic estimators;Journal of Cosmology and Astroparticle Physics;2024-07-01