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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 235, Pages 228–234
(Mi znsl3650)
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Semiclassical electron motion and Novikov conjecture
I. A. Dynnikov Московский государственный университет
Abstract:
The structure of nonclosed trajectories of semiclassical electron motion in a crystal in a weak constant and uniform magnetic field of irrationality degree 3 is considered. It is proved that two cases can exist. In the first case the set of energy levels which contain nonclosed trajectories is a closed interval and any regular nonclosed trajectory lies in a finite-wide stripe and comes through it in one direction. In the other case, there is only one energy level containing nonclosed trajectories. Bibl. 5 titles.
Received: 20.10.1992
Citation:
I. A. Dynnikov, “Semiclassical electron motion and Novikov conjecture”, Differential geometry, Lie groups and mechanics. Part 15–2, Zap. Nauchn. Sem. POMI, 235, POMI, St. Petersburg, 1996, 228–234; J. Math. Sci. (New York), 94:4 (1999), 1589–1592
Linking options:
https://www.mathnet.ru/eng/znsl3650 https://www.mathnet.ru/eng/znsl/v235/p228
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Abstract page: | 140 | Full-text PDF : | 49 |
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