Phase space methods for particles on a circle

Abstract

The phase space $S\times Z$ for a particle on a circle is considered. Displacement operators in this phase space are introduced and their properties are studied. Wigner and Weyl functions in this context are also considered and their physical interpretation and properties are discussed. All results are compared and contrasted with the corresponding ones for the harmonic oscillator in the $R\times R$ phase space.

References in corpus (1)

• On the uncertainty relations and squeezed states for the quantum mechanics on a circle

Cited by in corpus (8)

• Orbital angular momentum in phase space
• Superintegrability of Geodesic Motion on the Sausage Model
• General phase spaces: from discrete variables to rotor and continuum limits
• Analytic Representation of Finite Quantum Systems
• Quantum mechanics on profinite groups and partial order
• Clifford operations and homological codes for rotors and oscillators
• Orbital angular momentum from marginals of quadrature distributions
• Integral Quantization for the Discrete Cylinder