Wigner functions for curved spaces. II. On spheres

DOI10.1063/1.1559644zbMath1062.81101OpenAlexW2046353870MaRDI QIDQ4832954

George S. Pogosyan, Miguel A. Alonso, Kurt Bernardo Wolf

Publication date: 14 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1559644

Mathematics Subject Classification ID

Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (7)

$SU(2)$ -particle sigma model: momentum-space quantization of a particle on the sphere S ³ ⋮ Wigner function for the quantum mechanics on a sphere ⋮ GeneralizedSU(2) covariant Wigner functions and some of their applications ⋮ An inhomogeneous toy model of the quantum gravity with the explicitly evolvable observables ⋮ Wigner distribution function for the time-dependent quadratic-Hamiltonian quantum system using the Lewis-Riesenfeld invariant operator ⋮ Quantum phase space for the one-dimensional hydrogen atom on the hyperbola ⋮ Wigner functions and coherent states for the quantum mechanics on a circle

Cites Work

• The Moyal representation for spin
• The Wigner function for general Lie groups and the wavelet transform
• Perturbative quantum corrections and flux compactifications
• Lie algebras for systems with mixed spectra. I. The scattering Pöschl–Teller potential
• Dynamical symmetries in a spherical geometry. II
• On the Quantum Correction For Thermodynamic Equilibrium
• Wigner distribution function for finite systems

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