Simon, Barry (1984) Semiclassical analysis of low lying elgenvalues. III. Width of the ground state band in strongly coupled solids. Annals of Physics, 158 (2). pp. 415-420. ISSN 0003-4916. https://resolver.caltech.edu/CaltechAUTHORS:20180521-145200393
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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.
| Item Type: | Article | ||||||
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| 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. | ||||||
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| Issue or Number: | 2 | ||||||
| Record Number: | CaltechAUTHORS:20180521-145200393 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180521-145200393 | ||||||
| Official Citation: | Barry Simon, Semiclassical analysis of low lying elgenvalues. III. Width of the ground state band in strongly coupled solids, Annals of Physics, Volume 158, Issue 2, 1984, Pages 415-420, ISSN 0003-4916, https://doi.org/10.1016/0003-4916(84)90125-8. (http://www.sciencedirect.com/science/article/pii/0003491684901258) | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 86519 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | George Porter | ||||||
| Deposited On: | 21 May 2018 22:20 | ||||||
| Last Modified: | 03 Oct 2019 19:44 |
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