Stein's method and approximating the quantum harmonic oscillator

• Published in: Bernoulli : official journal of the Bernoulli Society for Mathematical Statistics and Probability Vol. 25; no. 1; p. 89
• Main Authors: McKeague, Ian W, Peköz, Erol A, Swan, Yvik
• Format: Journal Article
• Language: English
• Published: England 01.02.2019
• Subjects: Stein’s method; Interacting particle system; Higher energy levels; Maxwell distribution

Hall et al. (2014) recently proposed that quantum theory can be understood as the continuum limit of a deterministic theory in which there is a large, but finite, number of classical "worlds." A resulting Gaussian limit theorem for particle positions in the ground state, agreeing with quan...