Always Detectable Eigenfunctions on Metric Graphs |
| P. Kurasov
Department of Mathematics, Stockholm Univ., 106 91 Stockholm, Sweden |
| Full Text PDF |
| It is proven that Laplacians with standard vertex continuous on metric trees and with standard and Dirichlet conditions on arbitrary metric graphs possess an infinite sequence of simple eigenvalues with the eigenfunctions not equal to zero in any non-Dirichlet vertex. |
DOI:10.12693/APhysPolA.140.510 topics: quantum graphs, generic eigenfunctions |