High-Accuracy Numerical Methods and Convergence Analysis for Schrödinger Equation with Incommensurate Potentials-Reference-Cited by-同舟云学术

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

Published:2024-08-29 Issue:1 Volume:101 Page:
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Jiang Kai^ORCID,Li Shifeng,Zhang Juan

Funder

Hunan Youth Science and Technology Innovation Talents Project

National Key R &D Program of China

Innovative Research Group Project of Natural Science Foundation of Hunan Province of China

National Natural Science Foundation of China

Science and Technology Innovation Program of Hunan Province

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s10915-024-02658-3.pdf

Reference38 articles.

1. Dirac, P.: The Principles of Quantum Mechanics. Oxford University Press (1958)

2. Jahnke, T., Lubich, C.: Error bounds for exponential operator splittings. BIT Numer. Math. 40(4), 735–744 (2000)

3. Wu, Z., Zhang, Z., Zhao, X.: Error estimate of a quasi-Monte Carlo time-splitting pseudospectral method for nonlinear Schrödinger equation with random potentials. SIAM/ASA J. Uncertain. Quantif. 12, 1–29 (2024)

4. Bellisard, J., Lima, R., Testard, D.: Ametal-insulator transition for the almost Mathieu model. Commun. Math. Phys. 88, 207–234 (1983)

5. Kohmoto, M.: Metal-Insulator transition and scaling for incommensurate systems. Phys. Rev. Lett. 51(13), 1198–1201 (1983)

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