Equivalent sets of coherent states of the 1D infinite square well and properties

2014/10/01 by Marc-Antoine Fiset, Fiset, Marc-Antoine, Véronique Hussin +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Laser-Matter Interactions and Applications #Mathematical Physics (math-ph) #Optical and Acousto-Optic Technologies #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1410.0305

10 pages, 2 figures

arxiv created 2014/10/01 · openalex publication_date 2014/10/01 · arxiv updated 2014/10/02 · openalex created_date 2016/07/22 · openalex updated_date 2026/07/28

Abstract

We prove the equivalence (under some conditions) of two sets of coherent states built for the one-dimensional infinite square well: the so-called generalized and Gaussian Klauder coherent states. We then derive an approximate close expression approaching their probability density and wave function to explore their properties analytically. This process gives thereby explanation of the quasi-classical behavior of these states in terms of the main observables and the Heisenberg uncertainty product

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