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We study the two dimensional quantum system governedby the Schrödinger operator with delta type potential. The interaction is supported by line Γ which coincides with a straight at infinity and which admits two widely separated deformations. The aim of this paper is to express the number of bound states of our system by the number of bound states of the system with single deformation.doi:10.12921/cmst.2010.16.02.162-167 fatcat:a3e2wics6vh47lovkc3kujqita