Dynamics on quantum graphs as constrained systems

DOI10.1016/S0034-4877(07)80063-2zbMath1159.81019OpenAlexW1988113801MaRDI QIDQ1002127

Gianfausto Dell'Antonio

Publication date: 24 February 2009

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(07)80063-2

zbMATH Keywords

constrained systemslimit dynamics

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Molecular physics (81V55)

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Cites Work

• Asymptotic solutions of nonrelativistic equations of quantum mechanics in curved nanotubes. I: Reduction to spatially one-dimensional equations
• Diffusion processes on graphs and the averaging principle
• Slowing down and reflection of waves in truncated periodic media
• Semiclassical analysis of constrained quantum systems
• Quantum graphs as holonomic constraints
• Kirchhoff's rule for quantum wires
• Graph models for waves in thin structures
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