Geometric dynamics on quantum nano-surfaces and low-energy spectrum in a homogeneous magnetic field

DOI10.1134/S1061920807040103zbMath1176.81053MaRDI QIDQ1033742

Mikhail V. Karasev

Publication date: 10 November 2009

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

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (3)

Quantum dynamics in a thin film. II: Stationary states ⋮ Magneto-dimensional resonance on curved surfaces ⋮ Graphene as a quantum surface with curvature-strain preserving dynamics

Cites Work

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• LANDAU GROUND STATE ON RIEMANNIAN SURFACES
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• ``Peierls substitution and Chern-Simons quantum mechanics
• Quantum surfaces, special functions, and the tunneling effect
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