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Spectra of Schrödinger Operators on Equilateral Quantum Graphs

✍ Scribed by Konstantin Pankrashkin

Publisher
Springer
Year
2006
Tongue
English
Weight
181 KB
Volume
77
Category
Article
ISSN
0377-9017

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✍ Hein van der Holst 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 224 KB

introduced the graph parameter n(G), which is defined as the maximal corank of any positive semidefinite magnetic Schrödinger operator fulfilling a certain transversality condition. He showed that for connected simple graphs, n(G) [ 1 if and only if G is a tree. In this paper we characterize for k=2