Quasiprobability distribution functions for periodic phase-spaces: I. Theoretical Aspects

TL;DR

This paper develops a theoretical framework for $s$-parametrized quasiprobability distribution functions tailored to systems with circular topology, emphasizing the construction of angle-angular momentum coherent states.

Contribution

It introduces a novel approach for defining quasiprobability distributions on circular phase spaces, including the construction of suitable coherent states.

Findings

Framework for $s$-parametrized quasiprobability functions on circular phase spaces

Method for constructing angle-angular momentum coherent states

Theoretical foundation for analyzing quantum systems with periodic phase spaces

Abstract

An approach featuring $s$-parametrized quasiprobability distribution functions is developed for situations where a circular topology is observed. For such an approach, a suitable set of angle-angular momentum coherent states must be constructed in appropriate fashion.