Deformed generalization of the semiclassical entropy

Abstract

We explicitly obtain here a novel expression for the semiclassical Wehrl's entropy using deformed algebras built up with the q - coherent states (see Arik and Coon [J.Math.Phys. 17, 524 (1976) and Quesne [J. Phys. A 35, 9213 (2002)]). The generalization is investigated with emphasis on i) its behavior as a function of temperature and ii) the results obtained when the deformation-parameter tends to unity.