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Electron Escape from a Quantum Well

Published online by Cambridge University Press:  10 February 2011

James P. Lavine  and
Harvey S. Picker
James P. Lavine
Affiliation:
Microelectronics Technology Division Eastman Kodak Company, Rochester, NY 14650–2008
Harvey S. Picker
Affiliation:
Department of Physics Trinity College, Hartford, CT 06106
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Abstract

The quantum mechanical escape rate is calculated for an electron in a one-dimensional potential well. First-order time-dependent perturbation theory is used for the bound-to-bound and the bound-to-free transitions. The bound-to-free transition probability decays exponentially with bound energy. The fraction of one-electron systems in a bound state decays exponentially with time. The characteristic time constant grows exponentially with an increasein the depth of the potential well.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 464: Symposium FF – Dynamics in Small Confining Systems III , 1996 , 275
Copyright
Copyright © Materials Research Society 1997

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References

REFERENCES

1. Kramers, H. A., Physica 7, 284 (1940).Google Scholar
2. Hänggi, P., Talkner, P., and Borkovec, M., Rev. Mod. Phys. 6 2, 251 (1990).Google Scholar
3. Mel'nikov, V. I., Phys. Rep. 209, 1 (1991).Google Scholar
4. Miller, W. H., Ber. Bunsenges Phys. Chem. 95, 389 (1991).Google Scholar
5. Garcia-Calderón, G., Mateos, J. L., and Moshinsky, M., Ann. Phys. (NY) 249, 430 (1996).Google Scholar
6. Luban, M. and Nudler-Blum, B., J. Math. Phys. 18, 1871 (1977).Google Scholar
7. Lucovsky, G., Solid State Commun. 3, 299 (1965).Google Scholar
8. Lavine, J. P., in Dynamics in Small Confining Systems II, edited by Drake, J. M., Klafter, J., Kopelman, R., and Troian, S. M. (Mater. Res. Soc. Proc. 366, Pittsburgh, PA, 1995) pp. 353–358.Google Scholar
9. Greiner, W., Quantum Mechanics An Introduction, Springer-Verlag, Berlin, 1993, Sect. 11–4 and 11–6.Google Scholar