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.

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

References in corpus (3)

• Generating and Revealing a Quantum Superposition of Electromagnetic Field Binomial States in a Cavity
• Bell's inequality violation for entangled generalized Bernoulli states in two spatially separate cavities
• Correspondence between field generalized binomial states and coherent atomic states

Cited by in corpus (1)

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