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We prove the equivalence (under some conditions) of two sets of coherentstates built for the one-dimensional infinite square well: the so-calledgeneralized and Gaussian Klauder coherent states. We then derive an approximateclose expression approaching their probability density and wave function toexplore their properties analytically. This process gives thereby explanationof the quasi-classical behavior of these states in terms of the mainobservables and the Heisenberg uncertainty product

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