Robert Carlson, Vyacheslav Pivovarchik
The classical Ambarzumian's Theorem for Schrodinger operators on an interval, with Neumann conditions at the endpoints, says that if the spectrum of is the same as the spectrum of then . This theorem is generalized to Schrodinger operators on metric trees with Neumann conditions at the boundary vertices.
Submitted April 12, 2007. Published October 24, 2007.
Math Subject Classifications: 34B45.
Key Words: Inverse eigenvalue problem; quantum graph.
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|Robert Carlson |
University of Colorado at Colorado Springs
Colorado Springs, CO 80933, USA
| Vyacheslav Pivovarchik |
South-Ukrainian State Pedagogical University
Staroportofrankovskaya Ul. 26, 65020 Odessa, Ukraine
email: firstname.lastname@example.org vnp.@dtp.odessa.ua
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