ON RELATION BETWEEN GEOMETRIC MOMENTUM AND ANNIHILATION OPERATORS ON A TWO-DIMENSIONAL SPHERE

DOI10.1142/S0219887813200077zbMath1282.81116arXiv1212.4897OpenAlexW3099061749MaRDI QIDQ2845332

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Publication date: 22 August 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.4897

zbMATH Keywords

geometric momentumannihilation operators on sphere

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Surfaces in Euclidean and related spaces (53A05)

Related Items (5)

Geometric momentum and angular momentum for charge-monopole system ⋮ Distribution of \(xp\) in some molecular rotational states ⋮ Geometric momentum for a particle constrained on a curved hypersurface ⋮ Can Dirac quantization of constrained systems be fulfilled within the intrinsic geometry? ⋮ A self-adjoint decomposition of the radial momentum operator

Cites Work

• The inverse Segal-Bargmann transform for compact Lie groups
• The Segal-Bargmann ``coherent state transform for compact Lie groups
• Phase space bounds for quantum mechanics on a compact Lie group
• The Bargmann representation for the quantum mechanics on a sphere
• On Equivalence of Two Realizations for a Nonlinear Lie Algebra
• Constraint-induced mean curvature dependence of Cartesian momentum operators
• Coherent states for the quantum mechanics on a compact manifold
• Quantum mechanics on a sphere and coherent states
• Harmonic analysis with respect to heat kernel measure
• Coherent states on spheres
• The Bargmann transform and canonical transformations
• GEOMETRIC MOMENTUM IN THE MONGE PARAMETRIZATION OF TWO-DIMENSIONAL SPHERE
• Transformation Between Eigenfunctions of Three Components of Geometric Momentum on Two-Dimensional Sphere

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