Lower Bound on Quantum Tunneling for Strong Magnetic Fields

DOI10.1137/21M1429412zbMath1485.81054arXiv2006.08025OpenAlexW3034616920MaRDI QIDQ5030389

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Publication date: 17 February 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.08025

zbMATH Keywords

magnetic fieldSchrödinger equationtunnelingeigenvalue splittingtight binding approximationhopping coefficient

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Statistical mechanics of solids (82D20) Tunneling in quantum theory (81U26)

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Cites Work

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• Honeycomb Schrödinger Operators in the Strong Binding Regime
• Gaussian decay estimates for the eigenfunctions of magnetic schrödinger operators
• Some Asymptotic Formulas for Wiener Integrals

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