Ambarzumian's theorem for trees

Date

2007-10-24

Authors

Carlson, Robert
Pivovarchik, Vyacheslav

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

The classical Ambarzumian's Theorem for Schrödinger operators -D2 + q on an interval, with Neumann conditions at the endpoints, says that if the spectrum of (-D2 + q) is the same as the spectrum of (-D2) then q = 0. This theorem is generalized to Schrödinger operators on metric trees with Neumann conditions at the boundary vertices.

Description

Keywords

Inverse eigenvalue problem, Quantum graph

Citation

Carlson, R., & Pivovarchik, V. (2007). Ambarzumian's theorem for trees. <i>Electronic Journal of Differential Equations, 2007</i>(142), pp. 1-9.

Rights

Attribution 4.0 International

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