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Semiclassical analysis of low lying elgenvalues. III. Width of the ground state band in strongly coupled solids

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
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/0003-4916(84)90125-8DOIArticle
ORCID:
AuthorORCID
Simon, Barry0000-0003-2561-8539
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.
Funders:
Funding AgencyGrant Number
NSFMCS-81-20833
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)
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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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