temperature effects, frieden–hawkins’ order-measure, and wehrl entropy温度影响,frieden-hawkins order-measure,wehrl熵.pdf

Entropy 2012, 14, 2081-2099; doi:10.3390/ OPEN ACCESS entropy ISSN 1099-4300 /journal/entropy Article Temperature Effects, Frieden–Hawkins’ Order-Measure, and Wehrl Entropy Flavia Pennini *, Angelo Plastino and Gustavo L. Ferri La Plata Physics Institute, National University and CCT-CONICET, C. C. 727, La Plata 1900, Argentine Physics Department, North Catholic University, Av. Angamos 0610, Antofagasta 1240000, Chile Physics Department and IFISC-CSIC, University of Balearic Islands, Palma de Mallorca 07122, Spain Exact and Natural Sciences Faculty, La Pampa National University, Uruguay 151, Santa Rosa 6300, La Pampa, Argentina * Author to whom correspondence should be addressed; E-Mail: fpennini@ucn.cl. Received: 3 September 2012; in revised form: 20 October 2012 / Accepted: 22 October 2012 / Published: 26 October 2012 Abstract: We revisit the Frieden–Hawkins’ Fisher order measure with a consideration of temperature effects. To this end, we appeal to the semiclassical approach. The order-measure’s appropriateness is validated in the semiclassical realm with regard to two physical systems. Insight is thereby gained with respect to the relationships amongst semiclassical quantifiers. In particular, it is seen that Wehrl’s entropy is as good a disorder indicator as the Frieden–Hawkins’ one. Keywords: order; semiclassical methods; quantum statistical mechanics; Husimi distributions 1. Introduction In this work we apply the Frieden–Hawkin