Orbital angular momentum in phase space
I. Rigas, L. L. Sanchez-Soto, A. B. Klimov, J. Rehacek, Z. Hradil

TL;DR
This paper develops a comprehensive Weyl-Wigner phase space formalism for angle and angular momentum, addressing issues related to periodicity and discreteness in rotational quantum systems.
Contribution
It introduces a detailed theoretical framework for phase space analysis of angle-angular momentum systems, resolving key issues of periodicity and discreteness.
Findings
Established a Weyl-Wigner formalism for angle-angular momentum
Addressed rotational periodicity challenges
Provided insights into angular-momentum discreteness
Abstract
A comprehensive theory of the Weyl-Wigner formalism for the canonical pair angle-angular momentum is presented. Special attention is paid to the problems linked to rotational periodicity and angular-momentum discreteness.
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