Bound states of infinite curved polymer chains
arXiv:math-ph/0010046 · doi:10.1023/A:1017923426674
Abstract
We investigate an infinite array of point interactions of the same strength in R^d, d=2,3, situated at vertices of a polygonal curve with a fixed edge length. We demonstrate that if the curve is not a line, but it is asymptotically straight in a suitable sense, the corresponding Hamiltonian has bound states. Example is given in which the number of these bound states can exceed any positive integer.
LaTeX2e, 12 pages