Bound states of infinite curved polymer chains
Mathematical Physics
2020-01-17 v1 Condensed Matter
math.MP
Quantum Physics
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.
Cite
@article{arxiv.math-ph/0010046,
title = {Bound states of infinite curved polymer chains},
author = {Pavel Exner},
journal= {arXiv preprint arXiv:math-ph/0010046},
year = {2020}
}
Comments
LaTeX2e, 12 pages