Spectral properties of one-dimensional Schrödinger operators with potentials generated by substitutions
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
http://link.springer.com/content/pdf/10.1007/BF02097231.pdf
Reference24 articles.
1. Queffélec, M.: Substitution dynaical systems. Spectral Analysis. Lecture Notes in Mathematics1294, Berlin, Heidelberg, New York: Springer 1987
2. Shechtman, D., Blech, I., Gratias, D., Cahn, J.V.: Metallic phase with long-range oritnetational order and no translational symmetry. Phys. Rev. Lett.53, 1951–1953 (1984)
3. See e.g. Steinhardt, P.J., Ostlund, S.: The physics of quasicrystals. Singapore, Philadelphia: World Scientific 1987; Hof, A.: Quasi-crystals, aperiodicity and lattice systems. Thesis Groningen 1992
4. Kohmoto, M., Kadanoff, L.P., Tang, C.: Localization problem in one dimension: Mapping and escape. Phys. Rev. Lett.50, 1870–1872 (1983); Ostlund, S., Pandit, R., Rand, D., Schnellnhuber, H.J., Siggia, E.D.: Schrödinger equation with an almost periodic potential. Phys. Rev. Lett.50, 1873–1876 (1983); Kohmoto, M., Oono, Y.: Cantor spectrum for an almost periodic Schrödinger equation and a dynamical map. Phys. Lett.102A, 145–148 (1984)
5. Casdagli, M.: Symbolic dynamics for the renormalization map of a quasiperiodic Schrödinger equation. Commun. Math. Phys.107, 295–318 (1986)
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