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math-ph2026
Spectral Analysis of the Schrödinger Operator for the Incommensurate System
Yan Li, Yujian Song, Aihui Zhou
Many novel and unique physical phenomena in incommensurate systems can be illustrated and predicted using their spectral structure and electronic state distributions. However, the…
math-ph2024
A Mathematical Aspect of Bloch's Theorem
Yan Li, Bin Yang, Aihui Zhou
In this paper, by studying a class of 1-D Sturm-Liouville problems with periodic coefficients, we show and classify the solutions of periodic Schrodinger equations in a multidimens…