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Hyperfine interaction in a classical hydrogen atom and geometric quantization

✍ Scribed by C. Duval; J. Elhadad; G.M. Tuynman

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
882 KB
Volume
3
Category
Article
ISSN
0393-0440

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✦ Synopsis

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 spinorbit coupling (fine-structure) and spin -spin interaction (hyperfine --structure).

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## Abstract The structures of __n__‐B~18~H~22~ and of __n__‐B~18~H~22~β‹…C~6~H~6~ were determined by single‐crystal X‐ray analysis at βˆ’60 °C. The geometry of the boron cluster itself does not seem to be appreciably affected by solvation. There does, however, appear to be an unusual interaction of a p