Hyperfine interaction in a classical hydrogen atom and geometric quantization
type: Item
instance of: scholarly article
title: Hyperfine interaction in a classical hydrogen atom and geometric quantization
zbMATH Open document ID: 0615.58024
DOI: 10.1016/0393-0440(86)90015-X
author: Christian Duval
author: J. Elhadad
author: G. M. Tuyman
published in: Journal of Geometry and Physics
publication date: 1986-01-01T00:00:00Z
review text: We start with a Galilei-invariant symplectic model of two charged particles with spin and magnetic moment in interaction, which could serve as a model for the (classical) hydrogen atom. To this model we apply two different versions of geometric quantization and we obtain a hamiltonian operator which is (apart from some numerical constants) the well-known hamiltonian for the hydrogen atom, including spin-orbit coupling (fine- structure) and spin-spin interaction (hyperfine-structure).
Mathematics Subject Classification ID: 37N99
Mathematics Subject Classification ID: 81Q99
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 3996702
zbMATH Keywords: Galilei-invariant symplectic model of two charged particles
zbMATH Keywords: (classical) hydrogen atom
zbMATH Keywords: geometric quantization
MaRDI profile type: Publication
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full work available at URL: 0393-0440(86)90015-x
OpenAlex ID: W2094514961
description: scientific article; zbMATH DE number 3996702