Internal geometric current, and the Maxwell equation as a Hamiltonian system on configuration surfaces

DOI10.1134/S1061920807020021zbMath1128.35101WikidataQ124831391 ScholiaQ124831391MaRDI QIDQ996556

Mikhail V. Karasev

Publication date: 21 September 2007

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

quantizationgeometric superconductivityMaxwell-Lorentz equationquantum statistical averagingtension tensors on Riemannian manifolds with magnetic field

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of superconductors (82D55) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (4)

Magneto-dimensional resonance. Pseudospin phase and hidden quantum number ⋮ Magneto-dimensional resonance on curved surfaces ⋮ Graphene as a quantum surface with curvature-strain preserving dynamics ⋮ Geometric dynamics on quantum nano-surfaces and low-energy spectrum in a homogeneous magnetic field

Cites Work

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• Intrinsic dynamics of manifolds: quantum paths, holonomy, and trajectory localization
• Magneto-metric Hamiltonians on quantum surfaces in the configuration space
• Homogeneous Fedosov star products on cotangent bundles. I: Weyl and standard ordering with differential operator representation
• Hearing the zero locus of a magnetic field
• On the ground state energy for a magnetic Schrödinger operator and the effect of the de Gennes boundary condition
• Schrödinger operators with non-degenerately vanishing magnetic fields in bounded domains
• Asymptotic and geometric quantization
• Cotangent bundle quantization: entangling of metric and magnetic field
• Magnetic bottles in connection with superconductivity

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