Published December 1984
| public
Journal Article
Semiclassical analysis of low lying elgenvalues. III. Width of the ground state band in strongly coupled solids
- Creators
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Simon, Barry
Chicago
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Abstract
A smooth periodic potential, V, with one minima per unit cell, is considered. Let Δ(λ) be the width of the ground state band for −Δ + λ^2V. It is rigorously proved that lim(λ→∞) − λ^(−1) ln Δ(λ) is given by the minimum action among all instantons connecting two distinct minima of V.
Additional Information
© 1984 Published by Elsevier. Received January 17. 1984. Research partially supported by USNSF Grant MCS-81-20833. It is a pleasure to thank J. Keller and M. Weinstein for discussions which stimulated this work.Additional details
- Eprint ID
- 86519
- Resolver ID
- CaltechAUTHORS:20180521-145200393
- NSF
- MCS-81-20833
- Created
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2018-05-21Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field