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math.NA2024
High-order structure-preserving schemes for the regularized logarithmic Schrödinger equation
Fan Yang, Zhida Zhou, Chaolong Jiang
In this paper, a novel high-order, mass and energy-conserving scheme is proposed for the regularized logarithmic Schrödinger equation(RLogSE). Based on the idea of the supplementar…
math-ph2024
Interval spectrum for electric quantum walk and related skew-shift CMV matrices
Fan Yang
We show that for a family of quantum walk models with electric fields, the spectrum is the unit circle for any irrational field. The result also holds for the associated CMV matric…
math-ph2024
On the spectrum of magnetic Laplacian on the Lieb lattice
Moises Gomez Solis, Dylan Spedale, Fan Yang
We study the magnetic Laplacian on the Lieb lattice, and prove Cantor spectrum for arbitrary irrational magnetic flux. We also provide a complete spectral analysis for the reduced…