标题： 非广延统计中均匀磁场中的电子气体热力学 显示英文标题

标题： Thermodynamics for an electron gas in a uniform magnetic field in nonextensive statistics

摘要： 本工作涉及由哈密顿算符控制的二维空间中的无自旋带电粒子系统，该系统受到垂直磁场B的作用，并在非广延统计热力学背景下与谐波势耦合。 这种量子气体系统的热力学在Tsallis统计框架中被详细阐述，通过执行Hilhorst积分变换得到了配分函数、磁化强度和磁化率的q版本。 结果在q $\mapsto$ 1极限下进行讨论。 显示英文摘要

摘要： This work deals with the physical system governed by a Hamiltonian operator, in two-dimensional space, of spinless charged particles subject to a perpendicular magnetic field B, coupled with a harmonic potential in the context of nonextensive statistical thermodynamics. The thermodynamics of such a quantum gas system is elaborated in the framework of Tsallis statistics by obtaining the q versions of the partition function, magnetization, and susceptibility after performing the Hilhorst integral transformation. The results are discussed in the q $\mapsto$ 1 limit.