Vertex coupling in quantum graphs: approximations by scaled Schroedinger operators

2010/11/28 by Pavel Exner, Exner, Pavel
Mathematics · Physics and Astronomy · #81V99 #FOS: Physical sciences #Mathematical Physics (math-ph) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Quantum many-body systems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1011.6019

openalex publication_date 2010/11/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We review recent progress in understanding the physical meaning of quantum graph models through analysis of their vertex coupling approximations.

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