Layer-Splitting Methods for Time-Dependent Schrödinger Equations of Incommensurate Systems

DOI10.4208/cicp.OA-2021-0070zbMath1482.35188arXiv2103.14897OpenAlexW3211081978MaRDI QIDQ5065155

Yuzhi Zhou, Ting Wang, Huajie Chen, Aihui Zhou

Publication date: 18 March 2022

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.14897

zbMATH Keywords

time-dependent Schrödinger equationtime stepping schemeincommensurate system

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) PDEs in connection with quantum mechanics (35Q40) Numerical methods for initial value problems involving ordinary differential equations (65L05) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

Numerical Methods and Analysis of Computing Quasiperiodic Systems

Cites Work

• Numerical methods for quasicrystals
• On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
• Plane wave methods for quantum eigenvalue problems of incommensurate systems
• A high order efficient numerical method for 4-D Wigner equation of quantum double-slit interferences
• Random batch methods (RBM) for interacting particle systems
• Spectral Methods
• On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations
• Order Estimates in Time of Splitting Methods for the Nonlinear Schrödinger Equation
• Geometric Numerical Integration
• Some application of splitting-up methods to the solution of mathematical physics problems
• On the Construction and Comparison of Difference Schemes

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