Magneto-metric Hamiltonians on quantum surfaces in the configuration space

DOI10.1134/S1061920807010049zbMath1115.81062MaRDI QIDQ871799

Mikhail V. Karasev

Publication date: 26 March 2007

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

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (11)

Cauchy problem for degenerating linear differential equations and averaging of approximating regularizations ⋮ Hall quantum Hamiltonians and electric 2D-curvature ⋮ Magneto-dimensional resonance. Pseudospin phase and hidden quantum number ⋮ Magneto-dimensional resonance on curved surfaces ⋮ The spectral density function of the renormalized Bochner Laplacian on a symplectic manifold ⋮ Graphene as a quantum surface with curvature-strain preserving dynamics ⋮ Regularization of the degenerate Schrödinger equation as a random process ⋮ Internal geometric current, and the Maxwell equation as a Hamiltonian system on configuration surfaces ⋮ LAUGHLIN'S WAVE FUNCTION AND ANGULAR MOMENTUM ⋮ Geometric dynamics on quantum nano-surfaces and low-energy spectrum in a homogeneous magnetic field ⋮ Accurate semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator

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