High-Accuracy Numerical Methods and Convergence Analysis for Schrödinger Equation with Incommensurate Potentials

Numerical solving the Schrödinger equation with incommensurate potentials presents a great challenge since its solutions could be space-filling quasiperiodic structures without translational symmetry nor decay. In this paper, we propose two high-accuracy numerical methods to solve the time-dependent...

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 101; no. 1; p. 18
Main Authors:	Jiang, Kai, Li, Shifeng, Zhang, Juan
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.10.2024 Springer Nature B.V
Subjects:	Accuracy Algorithms Approximation Computational Mathematics and Numerical Analysis Convergence Eigenvalues Fourier transforms Localization Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Methods Numerical analysis Numerical methods Ordinary differential equations Schrodinger equation Spectral methods Theoretical Time dependence Two dimensional analysis Projection method Quasiperiodic spectral method 68W40 65T40 42A75 Quasiperiodic Schrödinger equation 74S25 Second-order operator splitting method Convergence analysis
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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