2012/11/11 by Zouhaı̈r Mouayn, Zouhair Mouayn, Mouayn, Zouhair
Computer Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #Quantum optics and atomic interactions #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1211.2408
16 pages
arxiv created 2012/11/11 · openalex publication_date 2012/11/11 · arxiv updated 2012/11/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We consider a class of generalized spin coherent states by choosing the labeling coefficients to be monopole harmonics.The latters are L2 eigenstates of the mth spherical Landau level on the Riemann sphere with m in Z+. We verify that the Klauder minimum properties for these states to be considered as coherent states are satisfied. We particularize them for the case of the Kravchuk oscillator and we obtain explicite expression for their wave functions.The associated coherent states transforms provide us with a Bargmann-type representation for the states of the oscillator Hilbert space. For the lowest level m = 0 indexing monopole harmonics, we identify the obtained coherent states to be those of Klauder-Perelomov type which were constructed in Ref.J. Math. Phys. 48, 112106 (2007)