Title :
Surgery of quantum graphs
Author :
Bondarenko, Anatoly N. ; Dedok, Vasiliy A.
Author_Institution :
Sobolev Inst. of Math., Novosibirsk State Tech. Univ.
fDate :
June 26 2004-July 3 2004
Abstract :
In this paper we intend to present new results concerning the scattering problem on quantum graphs. We offer a new way for the computation of the scattering matrix of the graph using scattering matrices of subgraphs. This method provides us in getting the renormalization scheme for scattering matrices of n+1 and n-stage Sierpinski gaskets
Keywords :
S-matrix theory; graph theory; quantum theory; renormalisation; n-stage Sierpinski gaskets; quantum graphs surgery; renormalization scheme; scattering matrix; scattering problem; Bonding; Boundary conditions; Fractals; H infinity control; Mathematics; Optical scattering; Particle scattering; Quantum computing; Quantum mechanics; Surgery;
Conference_Titel :
Science and Technology, 2004. KORUS 2004. Proceedings. The 8th Russian-Korean International Symposium on
Conference_Location :
Tomsk
Print_ISBN :
0-7803-8383-4
DOI :
10.1109/KORUS.2004.1555559
