Weakly coupled Schroedinger operators on regular metric trees

Hynek Kovarik

Weakly coupled Schroedinger operators on regular metric trees

数学物理 2010-05-05 v1 math.MP

作者: Hynek Kovarik

摘要

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.

关键词

schrödinger operators

引用

@article{arxiv.math-ph/0608013,
  title  = {Weakly coupled Schroedinger operators on regular metric trees},
  author = {Hynek Kovarik},
  journal= {arXiv preprint arXiv:math-ph/0608013},
  year   = {2010}
}

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