scientific article

zbMath1122.81055arXivmath/0511161MaRDI QIDQ3593455

Mikhail V. Karasev

Publication date: 20 July 2007

Full work available at URL: https://arxiv.org/abs/math/0511161

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

symplectic geometryquantum geometryirreducible representationsaveragingnon-Lie commutation relationscoherent transformpolynomial Poisson bracketsresonance oscillator

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Coherent states (81R30) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)

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Semiclassical asymptotic spectrum of a Hartree-type operator near the upper boundary of spectral clusters ⋮ Asymptotics of the spectrum and quantum averages of a perturbed resonant oscillator near the boundaries of spectral clusters

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