Emergence of a confined state in a weakly bent wire

In this paper we use a simple straightforward technique to investigate the emergence of a bound state in a weakly bent wire. We show that the bend behaves like an infinitely shallow potential well, and in the limit of small bending angle (Phi<<1) and low energy the bend can be presented by a simple one-dimensional delta-function potential, V(x)=-(2rootc(b)Phi(2))delta(x) where c(b)congruent to2.1.