The Bargmann transform and regularization of the 2, 3, 5-dimensional Kepler problem

DOI10.1063/1.2209556zbMath1112.81070OpenAlexW1968058279MaRDI QIDQ3441875

Carlos Villegas-Blas

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.2209556

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Applications of operator theory in the physical sciences (47N50) Two-body problems (70F05) Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (2)

Semiclassical properties of coherent states for \(L^2(S^n)\), \(n=2,3,5\) ⋮ On a Bargmann transform and coherent states for the n-sphere

Cites Work

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• Semiclassical approximation for Schrödinger operators on a two-sphere at high energy
• Regularization of kepler's problem and the averaging method on a manifold
• On the regularization of the Kepler problem

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