Journal ArticleDOI
Surface states in crystals
TLDR
In this paper, it was shown that if the potential is real and (for convenience) symmetric, then if E is not V everywhere in the unit cell, there are no band crossings, and hence no Shockley levels.About:
This article is published in Annals of Physics.The article was published on 1957-07-01. It has received 37 citations till now. The article focuses on the topics: Surface states.read more
Citations
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Relativistic and atomic effects in the K-shell ionization of an atom during β-decay
TL;DR: In this article, a theoretical investigation on the K-shell self-ionization of an atom during nuclear β decay, taking screening and relativistic effects into account, was performed.
Journal ArticleDOI
On the existence conditions of localized states in linear chains
TL;DR: In this article, the existence conditions of localized states in linear chains with one or two impurities, and the influence of the coupling between impurity and its neighbor is stressed, in the cases of infinite and semi-infinite chains.
References
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Journal ArticleDOI
On the Surface States Associated with a Periodic Potential
TL;DR: In this article, the wave functions and energy levels associated with a finite one-dimensional periodic potential field are investigated and the surface levels appear only at lattice constants so small that the boundary curves for the allowed energy bands have crossed.
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Band Structures of One-Dimensional Crystals with Square-Well Potentials
TL;DR: In this article, the energy band structure for a one-dimensional periodic square-well potential is obtained in terms of the well depth for the whole range of possible ratios of well width to hill width.