The quantum Neumann model: refined semiclassical results

Abstract

We extend the semiclassical study of the Neumann model down to the deep quantum regime. A detailed study of connection formulae at the turning points allows to get good matching with the exact results for the whole range of parameters.

10 pages, 5 figures Minor edits

References in corpus (2)

• Spectrum of the quantum Neumann model
• The quantum Neumann model: asymptotic analysis

Cited by in corpus (2)

• A semiclassical study of the Jaynes-Cummings model
• A new integrable system on the sphere and conformally equivariant quantization