An elementary introduction to quantum graphs Academic Article uri icon

abstract

  • 2017 American Mathematial Society. We describe some basic tools in the spectral theory of Schrdinger operator on metric graphs (also known as quantum graphs) by studying in detail some basic examples. The exposition is kept as elementary and accessible as possible. In the later sections we apply these tools to prove some results on the count of zeros of the eigenfunctions of quantum graphs.

published proceedings

  • GEOMETRIC AND COMPUTATIONAL SPECTRAL THEORY

author list (cited authors)

  • Berkolaiko, G.

citation count

  • 20

complete list of authors

  • Berkolaiko, Gregory

publication date

  • January 2017