|Thermodynamics in a complete description of Landau diamagnetism
Olivares F.1, Pennini F. 2,3, Curilef S.3
1Departamento de Física- Facultad de Ciencias Exactas- UNLP, La Plata, Argentina; 2IFLP/CONICET-Departamento de Física- Facultad de Ciencias Exactas- UNLP,
La Plata, Argentina;
3Departamento de Física. Universidad Católica del Norte, Av. Angamos 0610, Antofagasta. Chile.
In the present study we analyze some consequences that come from revised measures as the Wehrl entropy and the Fisher information for the problem of a particle in a magnetic ﬁeld starting from a complete description of the Husimi function. We discuss in the most complete form (three dimensions) some results related to measures in contrast with the incomplete form (two dimensions) shown in previous contributions. Some limiting cases as high and low temperatures are discussed. From the present reasoning, it is suggested that the formulation in two dimensions is sufﬁcient unto itself to explain the problem whenever the length of the cylindrical geometry of the system is large enough. Otherwise, it is not possible to work in all ﬁnite temperatures, a natural lower temperature bound emerges from the analysis when three dimensions are considered
Keywords: Husimi distributions, Wherl entropies, Fisher information, Thermodynamics