2012/10/15 by Maurice Kibler, Maurice Robert Kibler, Mohammed Daoud +3
Chemistry · Engineering · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Molecular spectroscopy and chirality #Optical Network Technologies #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #math-ph #math.MP #quant-ph
paper · pdf · doi:10.48550/arxiv.1210.4022
6 pages, The XXIXth International Colloquium on Group-Theoretical Methods in Physics, Tianjin : China (2012)
arxiv created 2012/10/15 · openalex publication_date 2012/10/15 · arxiv updated 2012/10/17 · openalex created_date 2022/09/25 · openalex updated_date 2026/07/28
This paper is concerned with the construction of phase operators, phase states, vector phase states, and coherent states for a generalized Weyl-Heisenberg algebra. This polynomial algebra (that depends on real parameters) is briefly described. The various states are defined on a finite- or infinite-dimensional space depending on the parameters. This report constitutes an introduction to three papers published by the authors in J. Phys. A [43 (2010) 115303 and 45 (2012) 244036] and J. Math. Phys. [52 (2011) 082101]. See these three papers for the relevant references.