Quantum magnetic algebra and magnetic curvature

DOI10.1088/0305-4470/37/6/025zbMath1050.81039arXivquant-ph/0311053OpenAlexW2039571648MaRDI QIDQ4466308

T. A. Osborn, Mikhail V. Karasev

Publication date: 9 June 2004

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/0311053

zbMATH Keywords

magnetic fieldsymplectic formphase spacegeometric quantization

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Deformation quantization, star products (53D55)

Related Items (11)

Noncommutative geometry and deformation quantization in the quantum Hall fluids with inhomogeneous magnetic fields ⋮ Dirac’s magnetic monopole and the Kontsevich star product ⋮ Weyl’s symbols of Heisenberg operators of canonical coordinates and momenta as quantum characteristics ⋮ COHERENT STATES AND PURE STATE QUANTIZATION IN THE PRESENCE OF A VARIABLE MAGNETIC FIELD ⋮ Commutator Criteria for Magnetic Pseudodifferential Operators ⋮ Magnetic Fourier integral operators ⋮ Spectral and propagation results for magnetic Schrödinger operators; a \(C^*\)-algebraic framework ⋮ Magnetic pseudo-differential Weyl calculus on nilpotent Lie groups ⋮ Eigenfunctions decay for magnetic pseudodifferential operators ⋮ Two-parameter asymptotics in magnetic Weyl calculus ⋮ Strict deformation quantization for a particle in a magnetic field

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