Quantum and semiclassical representations over Lagrangian submanifolds in su(2)*, so(4)*, and su(1,1)*

DOI10.1063/1.530336zbMath0788.58025OpenAlexW1988598682MaRDI QIDQ4276742

M. B. Kozlov, Mikhail V. Karasev

Publication date: 10 February 1994

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

Full work available at URL: https://doi.org/10.1063/1.530336

zbMATH Keywords

coadjoint orbitquantizationLagrangiansymplectic

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Groups and algebras in quantum theory (81R99) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Geometric quantization (53D50)

Related Items (max. 100)

Representations of compact semisimple Lie algebras over Lagrangian submanifolds ⋮ Semiclassical asymptotics of oscillating tunneling for a quadratic Hamiltonian on the algebra \(\operatorname{su}(1,1)\) ⋮ Coherent transform of the spectral problem and algebras with nonlinear commutation relations. ⋮ Integral representations over isotropic submanifolds and equations of zero curvature ⋮ Representation of exact and semiclassical eigenfunctions via coherent states. The hydrogen atom in a magnetic field

Cites Work

• New global asymptotics and anomalies for the problem of quantization of the adiabatic invariant
• Poisson symmetry algebras and the asymptotics of spectral series
• On reproducing kernels and quantization of states
• Phase-Space Eikonal Method for Treating Wave Equations
• Geodesic flow on SO(4) and the intersection of quadrics
• A note on coherent state representations of Lie groups
• COHERENT STATES AND KAHLER MANIFOLDS
• Coherent states over symplectic homogeneous spaces
• Geometric quantization: Modular reduction theory and coherent states
• Generalized Bergman kernels and geometric quantization
• Euler-Poisson Equations on Lie Algebras and the N-Dimensional Heavy Rigid Body

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