Symplectic areas, quantization, and dynamics in electromagnetic fields
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Publication:4830708
DOI10.1063/1.1426688zbMath1059.81097arXivquant-ph/0002041OpenAlexW2042249484MaRDI QIDQ4830708
T. A. Osborn, Mikhail V. Karasev
Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0002041
Electromagnetic interaction; quantum electrodynamics (81V10) Geometry and quantization, symplectic methods (81S10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Deformation quantization, star products (53D55)
Related Items (19)
On the essential spectrum of magnetic pseudodifferential operators ⋮ Spectral and regularity properties of a pseudo-differential calculus related to Landau quantization ⋮ Magnetic pseudodifferential operators represented as generalized Hofstadter-like matrices ⋮ Abstract composition laws and their modulation spaces ⋮ Dirac’s magnetic monopole and the Kontsevich star product ⋮ On Fréchet-Hilbert algebras ⋮ COHERENT STATES AND PURE STATE QUANTIZATION IN THE PRESENCE OF A VARIABLE MAGNETIC FIELD ⋮ Phase space distributions and a duality symmetry for star products ⋮ Commutator Criteria for Magnetic Pseudodifferential Operators ⋮ The modulation mapping for magnetic symbols and operators ⋮ Magnetic Fourier integral operators ⋮ Unicity of the integrated density of states for relativistic Schrödinger operators with regular magnetic fields and singular electric potentials ⋮ Spectral and propagation results for magnetic Schrödinger operators; a \(C^*\)-algebraic framework ⋮ On the Regularity of the Hausdorff Distance Between Spectra of Perturbed Magnetic Hamiltonians ⋮ Eigenfunctions decay for magnetic pseudodifferential operators ⋮ Positive quantization in the presence of a variable magnetic field ⋮ On the continuity of spectra for families of magnetic pseudodifferential operators ⋮ Two-parameter asymptotics in magnetic Weyl calculus ⋮ Strict deformation quantization for a particle in a magnetic field
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