Semiclassical wave functions and semiclassical dynamics for the Kepler/Coulomb problem

DOI10.1088/1751-8113/47/22/225302zbMath1302.81051OpenAlexW2025513650MaRDI QIDQ4979929

A. D. Neate, Aubrey Truman

Publication date: 19 June 2014

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

Full work available at URL: https://doi.org/10.1088/1751-8113/47/22/225302

zbMATH Keywords

nodal setscomplex trajectories(Nelson's) stochastic mechanicsatomic elliptic coherent statesclassical, quantum and semiclassical Coulomb-Kepler probleminferred classical Hamiltonian systemsKeplerian diffusionsemiclassical identitiessymmetries and constants of motion

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Diffusion processes (60J60) Applications of Lie groups to the sciences; explicit representations (22E70) Two-body problems (70F05) Atomic physics (81V45) Coherent states (81R30) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (2)

Quantum Hamilton equations of motion for bound states of one-dimensional quantum systems ⋮ Semiclassical stochastic mechanics for the Coulomb potential with applications to modelling dark matter

This page was built for publication: Semiclassical wave functions and semiclassical dynamics for the Kepler/Coulomb problem