Wigner functions and coherent states for the quantum mechanics on a circle

DOI10.1088/1751-8121/ac019dOpenAlexW3168768161MaRDI QIDQ5873962

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Publication date: 10 February 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8121/ac019d

zbMATH Keywords

Wigner functionquantum mechanicscoherent states

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (2)

Quantum mechanics on a circle with a finite number of \(\alpha\)-uniformly distributed points ⋮ Wigner function for the quantum mechanics on a sphere

Uses Software

• DLMF

Cites Work

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• Orbital angular momentum in phase space
• When is the Wigner quasi-probability density non-negative?
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• The Segal-Bargmann ``coherent state transform for compact Lie groups
• The Bargmann representation for the quantum mechanics on a sphere
• On a Bargmann transform and coherent states for the n-sphere
• Quantizations on the circle and coherent states
• Coherent states on the circle
• Coherent states for n-dimensional Euclidean groups E(n) and their application
• Coherent states over symplectic homogeneous spaces
• Coherent states for a quantum particle on a circle
• Quantum mechanics on a sphere and coherent states
• On the uncertainty relations and squeezed states for the quantum mechanics on a circle
• Coherent states on spheres
• Wigner functions for curved spaces. II. On spheres

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