Trace formulae for Schrödinger systems on graphs

Authors : Chuan-fu Yang, Zhen-you Huang And Xiao-ping Yang

Pages : 181-196

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Publication Date : 9999-12-31

Article Type : Makaleler

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.
Keywords : Schrödinger systems, metric graph, d'-type conditions, trace formula, Ambarzumyan-type theorem.