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Analytical Envelope-Function Theory of Interface Band Mixing

โœ Scribed by Foreman, Bradley A.


Book ID
123617613
Publisher
The American Physical Society
Year
1998
Tongue
English
Weight
205 KB
Volume
81
Category
Article
ISSN
0031-9007

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Analytic properties of band functions
โœ J.E Avron; B Simon ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 959 KB

We consider the analytic properties of Bioch Hamiltonians and their energy levels as functions of quasi-momentum k. Among other results are: (1) The only entire band is the trivial free electron parabola. (2) The only isolated singularities allowed are branch points. (3) In one dimension, no natura