2001/07/20 by A. H. El Kinani, A. H. EL KINANI, M. Daoud +1 · 1 citation
Mathematics · Physics and Astronomy · #Mathematical Analysis and Transform Methods #Model Reduction and Neural Networks #Quantum Mechanics and Non-Hermitian Physics #quant-ph
paper · pdf · doi:10.1142/s0217979201005702
published as IJMPB, Vol 15, 2465-2483 (2001)
openalex publication_date 2001/07/20 · arxiv created 2003/12/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The construction of Generalized Intelligent States (GIS) for the x 4 -anharmonic oscillator is presented. These GIS families are required to minimize the Robertson–Schrödinger uncertainty relation. As a particular case, we will get the so-called Gazeau–Klauder coherent states. The properties of the latters are discussed in detail. Analytical representation is also considered and its advantage is shown in obtaining the GIS in an analytical way. Further extensions are finally proposed.