Generalized Binomial Probability Distributions attached to Landau levels on the Riemann sphere

Abstract

A family of generalized binomial probability distributions attached to Landau levels on the Riemann sphere is introduced by constructing a kind of generalized coherent states. Their main statistical parameters are obtained explicitly. As application, photon number statistics related to coherent states under consideration are discussed.

arXiv comment12 pages, 1 figure. This is a revised and improved exposition. Typos corrected and references added

References in corpus (5)

• Integrable Schrödinger operators with magnetic fields: factorisation method on curved surfaces
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Cited by in corpus (1)

• Spin coherent states with monopole harmonics on the Riemann sphere for the Kravchuk oscillator