Macrelli, Tommaso (2016) Sistemi quantistici con spettro singolarmente continuo. [Laurea triennale]
Full text disponibile come:
We study some quantum particles systems with singular continuous spectrum. In particular, we focus on one-dimensional quasicrystals, i.e. aperiodic structures with sharp diffraction images, and Bloch electrons in a periodic two-dimensional lattice subject to a perpendicular uniform magnetic field. The last part of the work is devoted to the study of the spectral properties of the almost Mathieu operator, which arises from the mathematical description of the latter system. Our main goal is to explore the many mathematical properties of the systems we consider and to give physical interpretations to them. We use notions and results from Measure Theory and Spectral Theory, which are summarized in the first Chapter.
Solo per lo Staff dell Archivio: Modifica questo record