Pavel Exner
Bound states of infinite curved polymer chains
(32K, LaTeX2e)
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.