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math-ph2021★ 1 cited
Some mathematical aspects of Anderson localization: boundary effect, multimodality, and bifurcation
Chen Jia, Ziqi Liu, Zhimin Zhang
Anderson localization is a famous wave phenomenon that describes the absence of diffusion of waves in a disordered medium. Here we generalize the landscape theory of Anderson local…
math-ph2019★ 2 cited
Two-parameter localization and related phase transition for a Schrödinger operator in balls and spherical shells
Chen Jia, Zhimin Zhang, Lewei Zhao
Here we investigate the two-parameter high-frequency localization for the eigenfunctions of a Schrödinger operator with a singular inverse square potential in high-dimensional ball…