Accumulation rate of bound states of dipoles generated by point charges in strained graphene

DOI10.1063/1.4976201zbMath1366.82076arXiv1609.09710OpenAlexW3100538165MaRDI QIDQ2968428

Florian Dorsch

Publication date: 13 March 2017

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

Full work available at URL: https://arxiv.org/abs/1609.09710

zbMATH Keywords

Klein-Gordon equationSchrödinger equationquantum mechanicsDirac equationnanostructures and nanoparticlesclosed and approximate solutions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Statistical mechanics of nanostructures and nanoparticles (82D80)

Cites Work

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• Minimax principles, Hardy-Dirac inequalities, and operator cores for two and three dimensional Coulomb-Dirac operators
• Corrections to the classical behavior of the number of bound states of Schrödinger operators
• Lieb-Thirring and Cwickel-Lieb-Rozenblum inequalities for perturbed graphene with a Coulomb impurity
• Counting eigenvalues using coherent states with an application to Dirac and Schrödinger operators in the semiclassical limit
• Oszillationsmethoden für Systeme gewöhnlicher Differentialgleichungen
• Accumulation rate of bound states of dipoles in graphene
• Dipoles in graphene have infinitely many bound states
• On negative eigenvalues of two‐dimensional Schrödinger operators

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