@article{Lv2026, 
author = {Yiran Lv},
title = {A New Approach for Calculating the Rotation Number of Quasi-Periodic Discrete Schrödinger Operators},
year = {2026},
journal = {Periodical of Ocean University of China},
volume = {56},
number = {8},
pages = {155-158},
keywords = {quasi-periodic descrete Schrödinger operators, rotation number, Prüfer variables},
url = {https://www.sciopen.com/article/10.16441/j.cnki.hdxb.20240387},
doi = {10.16441/j.cnki.hdxb.20240387},
abstract = {This article investigates the regular points of the quasi-periodic discrete Schrödinger operator           H    ω        u    n    =      u          n      −      1        +      u          n      +      1        +  v      (                  T        n            ω        )        u    n    which isgenerated by the irrational rotation on the circle. By employing the uniformly hyperbolic property of the corresponding Schrödinger cocycle, we construct the phase-angle sequence and analyze the asymptotic behavior of the Prüfer angle of the operator characteristic equation. Based on the phase-angle sequence and the definition of the rotation number, a new method for calculating the rotation number is given}
}