Coherent states map for MIC–Kepler system

DOI10.1063/1.531930zbMath0895.58026OpenAlexW2038815334MaRDI QIDQ4379248

M. Świȩtochowski, Anatol Odzijewicz

Publication date: 14 September 1998

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

Full work available at URL: https://doi.org/10.1063/1.531930

zbMATH Keywords

quantizationcoherent statesMIC-Kepler system

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Spinor and twistor methods applied to problems in quantum theory (81R25) Coherent states (81R30) Geometric quantization (53D50)

Related Items (10)

Integrable Hamiltonian systems on the symplectic realizations of \(\textbf{e}(3)^\ast\) ⋮ sl ( 2 , R ) symmetry and solvable multiboson systems ⋮ QUANTIZATION METHODS: A GUIDE FOR PHYSICISTS AND ANALYSTS ⋮ Reduction of the classical MICZ-Kepler problem to a two-dimensional linear isotropic harmonic oscillator ⋮ Perturbed \((2n - 1)\)-dimensional Kepler problem and the nilpotent adjoint orbits of \(\operatorname{U}(n, n)\) ⋮ Coadjoint Orbits and the Beginnings of a Geometric Representation Theory ⋮ The number radial coherent states for the generalized MICZ-Kepler problem ⋮ Coherent State Maps for Kummer Shapes ⋮ Some aspects of positive kernel method of quantization ⋮ A family of integrable perturbed Kepler systems

Cites Work

• General concept of quantization
• Models of Gross-Neveu type are quantization of a classical mechanics with nonlinear phase space
• Coherent states and geometric quantization
• The four-dimensional conformal Kepler problem reduces to the three-dimensional Kepler problem with a centrifugal potential and Dirac’s monopole field. Classical theory
• Regularization of kepler's problem and the averaging method on a manifold
• Quantization and unitary representations

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