Deformed Generalization of the Semiclassical Entropy

doi:10.3390/e10030240

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Entropy 2008, 10(3), 240-247; doi:10.3390/e10030240

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Deformed Generalization of the Semiclassical Entropy

Gustavo Ferri ¹, Fernando Olivares ², Flavia Pennini ^2,3, Angel Plastino ³, Anel R. Plastino ^4,5,6^,* and Montserrat Casas ⁷

¹ Facultad de Ciencias Exactas, Universidad Nacional de La Pampa, Peru y Uruguay, Santa Rosa, La Pampa, Argentina
² Departamento de Física, Universidad Católica del Norte, Av. Angamos 0610, Antofagasta, Chile
³ Exact Sciences Faculty, National University La Plata and IFLP-CCT-CONICET, C.C. 727, 1900 La Plata, Argentina
⁴ Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Granada, Spain
⁵ CREG-National, University La Plata and CONICET, Argentina
⁶ Physics Department, University of Pretoria, Pretoria 0002, South Africa
⁷ Departament de Física and IFISC, Universitat de les Illes Balears, 07122 Palma de Mallorca, Spain

^* Author to whom correspondence should be addressed.

Received: 5 March 2008; in revised form: 25 August 2008 / Accepted: 25 August 2008 / Published: 19 September 2008

(This article belongs to the Special Issue Facets of Entropy - Papers presented at the workshop in Copenhagen (24-26 October 2007))

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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.

Keywords: Wehrl entropy; Husimi distributions; deformed algebra; coherent states

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MDPI and ACS Style

Ferri, G.; Olivares, F.; Pennini, F.; Plastino, A.; Plastino, A.R.; Casas, M. Deformed Generalization of the Semiclassical Entropy. Entropy 2008, 10, 240-247.

AMA Style

Ferri G., Olivares F., Pennini F., Plastino A., Plastino A.R., Casas M. Deformed Generalization of the Semiclassical Entropy. Entropy. 2008; 10(3):240-247.

Chicago/Turabian Style

Ferri, Gustavo; Olivares, Fernando; Pennini, Flavia; Plastino, Angel; Plastino, Anel R.; Casas, Montserrat. 2008. "Deformed Generalization of the Semiclassical Entropy." Entropy 10, no. 3: 240-247.

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