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2002 J. Phys. A: Math. Gen. 35 101-121 doi: 10.1088/0305-4470/35/1/309
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Abstract. The inverse scattering problem on branching graphs is studied. The definition of the Schrödinger operator on such graphs is discussed. The operator is defined with real potentials with finite first momentum and using special boundary conditions connecting values of the functions at the vertices. It is shown that in general the scattering matrix does not determine the topology of the graph, the potentials on the edges and the boundary conditions uniquely.
PACS numbers: 02.30.Zz, 02.10.Ab, 03.65.Sq, 05.45.Mt
Print publication: Issue 1 (11 January 2002) |
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