Connections on Lagrangian submanifolds and some quasiclassical approximation problems
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Publication:684934
DOI10.1007/BF01480686zbMath0780.58051MaRDI QIDQ684934
Publication date: 15 September 1993
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
Lagrangian submanifoldsquantization conditionHeisenberg algebra representationzero- curvature connection
Applications of global analysis to the sciences (58Z05) Geometry and quantization, symplectic methods (81S10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
Related Items (8)
On the geometry of slow-fast phase spaces and the semiclassical quantization ⋮ Maslov's canonical operator in arbitrary coordinates on the Lagrangian manifold ⋮ Optimal error estimate of the extended-WKB approximation to the high frequency wave-type equation in the semi-classical regime ⋮ 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. ⋮ Eigenstates of the quantum Penning-Ioffe nanotrap at resonance ⋮ Global geometrical optics method for vector-valued Schrödinger problems ⋮ Representation of exact and semiclassical eigenfunctions via coherent states. The hydrogen atom in a magnetic field
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