The divine clockwork: Bohr’s correspondence principle and Nelson’s stochastic mechanics for the atomic elliptic state

DOI10.1063/1.2837434zbMath1153.81353arXiv0711.0157OpenAlexW3105321625MaRDI QIDQ3544639

Richard M. Durran, A. D. Neate, Aubrey Truman

Publication date: 8 December 2008

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

Full work available at URL: https://arxiv.org/abs/0711.0157

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)

Related Items (5)

Quantum Hamilton equations for multidimensional systems ⋮ A stochastic Burgers-Zeldovich model for the formation of planetary ring systems and the satellites of Jupiter and Saturn ⋮ Semiclassical stochastic mechanics for the Coulomb potential with applications to modelling dark matter ⋮ The stochastic Burgers equation with vorticity: Semiclassical asymptotic series solutions with applications ⋮ On the divine clockwork: The spectral gap for the correspondence limit of the Nelson diffusion generator for the atomic elliptic state

Cites Work

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• Semiclassical analysis of low lying eigenvalues. II: Tunneling
• Semiclassical analysis of low lying eigenvalues. III: Width of the ground state band in strongly coupled solids
• Diffusion processes with singular drift fields
• Semiclassical analysis of low lying eigenvalues. IV. The flea on the elephant
• Dynamical systems: Stability theory and applications

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