00-421 Pavel Exner

Bound states of infinite curved polymer chains (32K, LaTeX2e) Oct 27, 00

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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.

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