Dergiler / Turkish Journal of Mathematics / 2010 / Cilt: 34 - Sayı: 2
Trace formulae for Schrödinger systems on graphs
- Sayfa
- 181–196
- DOI
- —
Özet
For Schrödinger systems on metric graphs with d'-type conditions at the central vertex, firstly, we obtain precise description for the square root of the large eigenvalue up to the o(1/n)-term. Secondly, the regularized trace formulae for Schrödinger systems are calculated with some techniques in classical analysis. Finally, these formulae are used to obtain a result of inverse problem in the spirit of Ambarzumyan.
Abstract
For Schrödinger systems on metric graphs with d'-type conditions at the central vertex, firstly, we obtain precise description for the square root of the large eigenvalue up to the o(1/n)-term. Secondly, the regularized trace formulae for Schrödinger systems are calculated with some techniques in classical analysis. Finally, these formulae are used to obtain a result of inverse problem in the spirit of Ambarzumyan.