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
You are not logged in to this journal. Log in
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 |
KEYWORDS and PACS
PUBLICATION DATA
0022-2488 (print)
1089-7658 (online)
REFERENCES (11)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- R. Tsu and L. Esaki, Appl. Phys. Lett. 22, 562 (1973).
- F. Capasso and G. Margaritondo, Heterojunctions Band Discontinuities: Physics and Device Applications (North-Holland, Amsterdam, 1987).
- D. W. L. Sprung, Hua Wu, and J. Martorell,
Am. J. Phys. 61, 1118 (1993 ). - M. G. Rozman, P. Reineker, and R. Tehver,
Phys. Lett. A 187, 127 (1994 ). - M. Sassoli de Bianchi, J. Math. Phys. 35, 2719 (1994).
- L. D. Faddeev, Am. Math. Soc. Transl. 2, 139 (1964).
- P. Deift and E. Trubowitz,
Commun. Pure Appl. Math. 32, 121 (1979 ). - P. Senn,
Am. J. Phys. 56, 916 (1988 ). - T. Aktosun, J. Math. Phys. 33, 3865 (1992).
- Ph. A. Martin, Acta Phys. Austriaca, Suppl. 23, 159 (1981).
- G. Arfken, Mathematical Methods for Physicists, 2nd ed. (Academic, New York, 1970), 13.3.13, pp. 624–631.







