Stein’s method and approximating the multidimensional quantum harmonic oscillator

DOI10.1017/jpr.2022.125zbMath1530.81090arXiv2105.13499OpenAlexW3169116494MaRDI QIDQ6171939

Yvik Swan, Ian W. McKeague

Publication date: 16 August 2023

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.13499

zbMATH Keywords

Hamiltoniancouplingpoint configurationsWasserstein distance

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Small world graphs, complex networks (graph-theoretic aspects) (05C82) Estimates of eigenvalues in context of PDEs (35P15) Hamilton's equations (70H05) Methods of noncommutative geometry in general relativity (83C65) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Cites Work

• Convergence of empirical distributions in an interpretation of quantum mechanics
• Distances between nested densities and a measure of the impact of the prior in Bayesian statistics
• Stein's method of exchangeable pairs for the Beta distribution and generalizations
• Wasserstein and total variation distance between marginals of Lévy processes
• Stein's method and approximating the quantum harmonic oscillator
• Distances between distributions via Stein's method
• First-order covariance inequalities via Stein's method
• Distributing many points on spheres: minimal energy and designs
• Stein's Method for the Beta Distribution and the Pólya-Eggenberger Urn