Trace formulae for Schrödinger systems on graphs

Authors : Chuan-Fu YANG, Zhen-You HUANG and Xiao-Ping YANG

Pages : 181-196

View : 11 | Download : 5

Publication Date : 0000-00-00

Article Type : Research Paper

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 oinsert ignore into journalissuearticles values(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, d` type conditions, trace formula, Ambarzumyan type theorem