1999/12/21 by K. Kowalski, Jakub Rembieliński, J. Rembielinski · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Angular momentum #Classical mechanics #Coherent states #Cold Atom Physics and Bose-Einstein Condensates #Phase space #Physics #Position (finance) #Quantum #Quantum Mechanics and Applications #Quantum mechanics #Quantum state #Total angular momentum quantum number #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1088/0305-4470/33/34/309
published as J.Phys.A33:6035-6048,2000 · LaTeX, 16 pages, 2 figures
arxiv created 1999/12/21 · openalex publication_date 2000/08/16 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The coherent states for a particle on a sphere are introduced. These states are labelled by points of the classical phase space, i.e. the position on the sphere and the angular momentum of a particle. As with the coherent states for a particle on a circle discussed in Kowalski et al ( 1996 J. Phys. A: Math. Gen. 29 4149 ), we deal with a deformation of the classical phase space related to quantum fluctuations. The expectation values of the position and the angular momentum in the coherent states are regarded as the best possible approximation of the classical phase space. The correctness of the introduced coherent states is illustrated by an example of the rotator.