On the divine clockwork: The spectral gap for the correspondence limit of the Nelson diffusion generator for the atomic elliptic state

DOI10.1063/1.2988715zbMath1152.81417arXiv0805.1343OpenAlexW3104891235MaRDI QIDQ5505055

A. D. Neate, Feng-Yu Wang, Richard M. Durran, Aubrey Truman

Publication date: 23 January 2009

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

Full work available at URL: https://arxiv.org/abs/0805.1343

Mathematics Subject Classification ID

Atomic physics (81V45) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Stochastic mechanics (including stochastic electrodynamics) (81P20)

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Cites Work

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• Diffusion processes with singular drift fields
• Stochastic Burgers' equations and their semi-classical expansions
• Application of coupling methods to the Neumann eigenvalue problem
• Existence of the spectral gap for elliptic operators
• The divine clockwork: Bohr’s correspondence principle and Nelson’s stochastic mechanics for the atomic elliptic state

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