Coherent-state representation of quantum fractals in incommensurate systems
Journal
Chemical Physics Letters
Journal Volume
165
Journal Issue
2月3日
Pages
199-207
Date Issued
1990
Author(s)
Wang, K.
Abstract
We study the fractal behavior of quantum eigenstates in incommensurate systems, described by the Harper's or almost-Mathieu equation. It is shown that the coherent-state representation (or, equivalently, the coarse-grained Wigner function) of the fractal wave functions reduces to classical periodic closed orbits in the semiclassical limit ℏ → 0. © 1990.
SDGs
Type
journal article