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On the number of states bound by one-dimensional finite periodic potentials

J. Math. Phys. 36, 1753 (1995); doi:10.1063/1.531083

Issue Date: April 1995

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M. Sassoli de Bianchi
Institut de Physique Théorique, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland

M. Di Ventra
Institut de Physique Appliquée, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
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. ©1995 American Institute of Physics.
History: Received 6 September 1994; accepted 20 December 1994
Permalink: http://link.aip.org/link/?JMAPAQ/36/1753/1
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KEYWORDS and PACS

Keywords
PACS
  • 03.65.Nk
    Classical and quantum physics: mechanics and fields Quantum mechanics Nonrelativistic scattering theory
  • 03.65.Ge
    Classical and quantum physics: mechanics and fields Quantum mechanics Solutions of wave equations: bound states
  • YEAR: 1995

PUBLICATION DATA

ISSN:
0022-2488 (print)   1089-7658 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (11)

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