2008/02/22 by P. L. Garcia de Leon, Pedro Lenin García de León, Jean‐Pierre Gazeau +2 · 10 citations
Computer Science · Mathematics · Physics and Astronomy · #Classical mechanics #Coherent states #Mathematics #Observable #Particle in a box #Phase space #Physics #Position (finance) #Position and momentum space #Quantization (signal processing) #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Quantum state #Statistical physics #quant-ph
paper · pdf · doi:10.1016/j.physleta.2008.02.034
published in Physics Letters A 372(20), 3597-3607 (Elsevier BV) · 24 pages, 8 figures
openalex publication_date 2008/02/22 · arxiv created 2008/02/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A new family of 2-component vector-valued coherent states for the quantum particle motion in an infinite square well potential is presented. They allow a consistent quantization of the classical phase space and observables for a particle in this potential. We then study the resulting position and (well-defined) momentum operators. We also consider their mean values in coherent states and their quantum dispersions.