Eigenvalue spacings and dynamical upper bounds for discrete one-dimensional Schrödinger operators
Author:
Affiliation:
1. Institute of Mathematics, The Hebrew University of Jerusalem
Publisher
Duke University Press
Subject
General Mathematics
Reference31 articles.
1. I. Guarneri, Spectral properties of quantum diffusion on discrete lattices, Europhys. Lett. 10 (1989), 95–100.
2. M. Reed and B. Simon, Methods of Modern Mathematical Physics, III: Scattering Theory, Academic Press, New York, 1979.
3. S. Abe and H. Hiramoto, Fractal dynamics of electron wave packets in one-dimensional quasiperiodic systems, Phys. Rev. A 36 (1987), 5349–5352.
4. J. M. Barbaroux, F. Germinet, and S. Tcheremchantsev, Fractal dimensions and the phenomenon of intermittency in quantum dynamics, Duke. Math. J. 110 (2001), 161–193.
5. J. Breuer, Spectral and dynamical properties of certain random Jacobi matrices with growing parameters, Trans. Amer. Math. Soc. 362 (2010), 3161–3182.
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