scientific article; zbMATH DE number 529811

zbMath0790.58021MaRDI QIDQ4285578

Maciej Horowski, Anatol Odzijewicz

Publication date: 30 June 1994

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1993__59_1_69_0

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zbMATH Keywords

Kepler systemnondegenerate quadriccomplex projective Hilbert spaceEhrenfest quantizationfamily of holomorphic embeddings

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Coherent states (81R30) Geometry and quantization, symplectic methods (81S10) Kähler-Einstein manifolds (32Q20) Applications of holomorphic fiber spaces to the sciences (32L81) Geometric quantization (53D50)

Related Items (5)

Perturbed \((2n - 1)\)-dimensional Kepler problem and the nilpotent adjoint orbits of \(\operatorname{U}(n, n)\) ⋮ Coherent transform of the spectral problem and algebras with nonlinear commutation relations. ⋮ Coherent states and geometric quantization ⋮ Representation of exact and semiclassical eigenfunctions via coherent states. The hydrogen atom in a magnetic field ⋮ Some aspects of positive kernel method of quantization

Cites Work

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• On reproducing kernels and quantization of states
• Coherent states and geometric quantization
• COHERENT STATES AND KAHLER MANIFOLDS
• Classes of functions and associated integral transforms in the complex domain
• Regularization of kepler's problem and the averaging method on a manifold
• Quantization and unitary representations
• On the regularization of the Kepler problem

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