Cotangent bundle quantization: entangling of metric and magnetic field

DOI10.1088/0305-4470/38/40/006zbMath1081.81068arXivquant-ph/0505144OpenAlexW2067544037MaRDI QIDQ5699711

T. A. Osborn, Mikhail V. Karasev

Publication date: 26 October 2005

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0505144

zbMATH Keywords

Ricci curvatureaffine connectionssymplectic connectionHilbert algebrascoupling tensorgeodesic triangles

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Related Items (7)

Magneto-metric Hamiltonians on quantum surfaces in the configuration space ⋮ The Kirillov picture for the Wigner particle ⋮ Weyl’s symbols of Heisenberg operators of canonical coordinates and momenta as quantum characteristics ⋮ The spectral density function of the renormalized Bochner Laplacian on a symplectic manifold ⋮ Internal geometric current, and the Maxwell equation as a Hamiltonian system on configuration surfaces ⋮ Two-parameter asymptotics in magnetic Weyl calculus ⋮ Deformation quantization on the cotangent bundle of a Lie group

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