Bound states and zero‐energy resonances of one‐dimensional finite periodic potentials are investigated, by means of Levinson’s theorem. For finite range potentials supporting no bound states, a lower bound for the (reduced) time delay at threshold is derived.
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Research Article| April 01 1995
On the number of states bound by one‐dimensional finite periodic potentials
M. Sassoli de Bianchi;
M. Sassoli de Bianchi, M. Di Ventra; On the number of states bound by one‐dimensional finite periodic potentials. J. Math. Phys. 1 April 1995; 36 (4): 1753–1764. https://doi.org/10.1063/1.531083
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