Work

The Random Batch Method for $N$-Body Quantum Dynamics

Year: 2019

Type: preprint

Abstract: This paper discusses a numerical method for computing the evolution of large interacting system of quantum particles. The idea of the random batch method is to replace the total interaction of each particle with the $N-1$ other particles by the interaction with $p1$ and independent of the Planck constant $\hbar$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1912.07424

Authors: Golse, François, Jin, Shi, Paul, Thierry

Institutions: Centre de Mathématiques Laurent Schwartz, Shanghai Jiao Tong University, Laboratoire Jacques-Louis Lions

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Awards: 波形地震定位中的数学理论和快速算法研究, G4906700086

OpenAlex ID: W4287935581

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Cited by: 3

Related to: 10