Weakly coupled Schroedinger operators on regular metric trees

Details Weakly coupled Schroedinger operators on regular metric trees Weakly coupled Schroedinger operators on regular metric trees

2006-08-04

arxiv.org/abs/math-ph/0608013v1

Physics

Mathematical Physics

Scientific paper

Spectral properties of the Schroedinger operator $A_{\lambda} = -\Delta
+\lambda V$ on regular metric trees are studied. It is shown that as $\lambda$
goes to zero the behavior of the negative eigenvalues of $A_{\lambda}$ depends
on the global structure of the tree.

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