Exact Solution of Some Nonseparable Band Problems
- 2 April 1979
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 42 (14) , 915-918
- https://doi.org/10.1103/physrevlett.42.915
Abstract
In this paper I introduce and solve a series of band problems in higher dimensions which are generalizations of the one-dimensional Kronig-Penney model. These problems are nonseparable, in contrast to the three-dimensional model in the original Kronig-Penney work. In two dimensions the band problem is on a triangular lattice, while in three dimensions the band problem is on a body-centered-cubic lattice.Keywords
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