Session S30 - Mathematical Methods in Quantum Mechanics

Monday, July 19, 17:00 ~ 17:25 UTC-3

Some generic properties of a uniformly bounded family of discrete one-dimensional Schrödinger operators

Silas Luiz Carvalho

Universidade Federal de Minas Gerais, Brazil   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We present some generic spectral and dynamical properties of a uniformly bounded family of discrete one-dimensional Schrödinger operators, such as: Hausdorff, packing, upper and lower $q$-generalized fractal dimensions of a typical spectral measure, typical transport exponents, etc. We also discuss the application of the main techniques to limit-periodic Schrödinger operators.

Joint work with Moacir Aloisio (Universidade Federal do Amazonas) and César R. de Oliveira (Universidade Federal de São Carlos).

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