THE RANDOM BATCH METHOD FOR N -BODY QUANTUM DYNAMICS

François Golse (1) , Shi Jin (2) , Thierry Paul (3)

1 CMLS - Centre de Mathématiques Laurent Schwartz
2 Shanghai Jiao Tong University [Shanghai]
3 LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions

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.

Mots clés: Time-dependent Schrödinger equations; Random batch method; Mean-field limit; Wasserstein distance

Domaines: Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]

François Golse, Shi Jin, Thierry Paul. THE RANDOM BATCH METHOD FOR N -BODY QUANTUM DYNAMICS. Journal of Computational Mathematics -International Edition-, In press. ⟨hal-02405783⟩