Gaussian wave packet transform based numerical scheme for the semi-classical Schrödinger equation with random inputs

DOI10.1016/j.jcp.2019.109015zbMath1453.65020arXiv1903.08740OpenAlexW2980940264MaRDI QIDQ2222699

Giovanni Russo, Liu Liu, Zhennan Zhou, Shih Jin

Publication date: 27 January 2021

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

Full work available at URL: https://arxiv.org/abs/1903.08740

zbMATH Keywords

Schrödinger equationuncertainty quantificationstochastic collocationGaussian wave packet

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) PDEs with randomness, stochastic partial differential equations (35R60) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (2)

On a neural network approach for solving potential control problem of the semiclassical Schrödinger equation ⋮ Fourier spectral method for a class of nonlinear Schrödinger models

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