Construction of finite differentiable quasi-periodic Schrödinger operators with cantor spectrum

2023/08/09 by He, Jiawei, Cheng, Hongyu
#Dynamical Systems (math.DS) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2308.04685

Abstract

In this paper, we present an approach for explicitly constructing quasi-periodic Schrödinger operators with Cantor spectrum with C^k potential. Additionally, we provide polynomial asymptotics on the size of spectral gaps.

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