Title of article :
Trace formulae for Schrödinger systems on graphs
Author/Authors :
Yang, Chuan-Fu Nanjing University of Science and Technology - Department of Applied Mathematics, China , Huang, Zhen-You Nanjing University of Science and Technology - Department of Applied Mathematics, CHINA , Yang, Xiao-Ping Nanjing University of Science and Technology - Department of Applied Mathematics, CHINA
Abstract :
For Schrödinger systems on metric graphs with delta -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.
Keywords :
Schrödinger systems , metric graph , delta , type conditions , trace formula , Ambarzumyan , type theorem.
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
