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We study continuous phase spaces of single spins and develop a completedescription of their time evolution. The time evolution is completely specifiedby so-called star products. We explicitly determine these star products forgeneral spin numbers using a simplified approach which applies spin-weightedspherical harmonics. This approach naturally relates phase spaces of increasingspin number to their quantum-optical limit and allows for efficientapproximations of the time evolution for large spin numbers. We alsoapproximate phase-space representations of certain quantum states that arechallenging to calculate for large spin numbers. All of these applications areexplored in concrete examples and we outline extensions to coupled spinsystems.

Continuous phase spaces and the time evolution of spins: star products and spin-weighted spherical harmonics