Thermal properties for an ensemble of polymer Fermi oscillators

[摘要] Polymer quantum mechanics is a model inspired on loop quantum gravity in which one can study, in a simplified way, some properties of certain quantum mechanical models. There is a length parameter in this model, known as the polymer scale, comprising the discreteness introduced in this particular quantization. There is a recent analysis on quantum fields where the Fermi oscillator is polymerized by means of a non-analytic representation of the corresponding Weyl super-algebra, its energy spectrum acquires modifications by the introduction of polymer parameters, which turn out to be super-numbers. In this work we present the first step in studying thermostatistical properties of an ensemble of Fermi oscillators. As an initial approximation we consider the polymer parameters as real deviations from their usual values. We obtain modifications to the thermal properties of the system in terms of polymer parameters. In the last section we critically discuss the possible physical significance of the results.

[发布机构] Applied Mathematics and Systems Departament, Universidad Autónoma Metropolitana-Cuajimalpa, Av. Vasco de Quiroga 4871, México D. F.; 05348, Mexico^1;Physics Department, Universidad Autónoma Metropolitana-Iztapalapa, San Rafael Atlixco 186, México D. F.; 09340, Mexico^2;Engineering Faculty, Nuevo Campus, Universitario Universidad Autónoma de Chihuahua, Chihuahua; 31125, Mexico^3

[效力级别] 数学

[关键词] Analytic representation;Energy spectra;Initial approximation;Loop quantum gravity;Physical significance;Quantum field;Quantum mechanical model