Discrete random electromagnetic

@inproceedings{Knill1995DiscreteRE,
  title={Discrete random electromagnetic},
  author={LaplaciansOliver Knill},
  year={1995}
}
  • LaplaciansOliver Knill
  • Published 1995
We consider discrete random magnetic Laplacians in the plane and discrete random electromagnetic Laplacians in higher dimensions. The existence of these objects relies on a theorem of Feldman-Moore which was generalized by Lind to the nonabelian case. For example, it allows to realize ergodic Schrr odinger operators with stationary independent magnetic elds on discrete two dimensional lattices including also nonperiodic situations like Penrose lattices. The theorem is generalized here to higher… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 43 references

Aharonov-Bohm problem on a square lattice

  • S.Ya. Zhitomirskaya, V.A.Mandelshtam
  • Theor. Math.,
  • 1991
Highly Influential
4 Excerpts

Products of coboundaries for commuting nonsingular automorphisms

  • D. A. Lind
  • Z. Wahrsch. verw. Gebiete, 43:135{139
  • 1978
Highly Influential
11 Excerpts

Ergodic equivalence relations, cohomology and von Neumann algebras I,II

  • J. Feldmann, C.Moore
  • Trans. Am. Math. Soc.,
  • 1977
Highly Influential
20 Excerpts

Th eor emes ergodiques pour cocycle de degr e 2

  • J. DePauw
  • Th ese de doctorat, Universit e de Bretagne…
  • 1994
Highly Influential
4 Excerpts

A discrete analogue of periodic magnetic Schrodinger operators

  • T. Sunada
  • P. Parry R. Brooks, C.Gordon, editor, Geometry…
  • 1994
Highly Influential
3 Excerpts

Discrete magnetic Laplacians

  • M. A. Shubin
  • Commun. Math. Phys., 164:259{275
  • 1994
1 Excerpt

Non commutative methods in semiclassical analysis

  • J. Bellissard
  • S. Gra , editor, Tran- sition to Chaos in…
  • 1994
2 Excerpts

Similar Papers

Loading similar papers…