正则包体中荷电玻色气体的磁化强度
On the Magnetization of a Charged Bose Gas in the Canonical Ensemble
摘要：
考虑一个没有自相互作用的荷电玻色气体，被限制在一个三维立方体盒子的侧面$L\geq 1$中，并受到恒定磁场$B\neq 0$的作用。如果颗粒的体积密度$ρ$和温度$T$固定，则将正则磁化定义为约化自由能相对于$B$的偏导数。我们的主要结果是：对于所有严格正的$ρ$，$T$和$B$，它都有热力学极限.还证明了正则和巨正则磁化强度（最后一个在固定平均密度下）在表面级修正下是相等的。
英文摘要：
Consider a charged Bose gas without self-interactions, confined in a three dimensional cubic box of side $L\geq 1$ and subjected to a constant magnetic field $B\neq 0$. If the bulk density of particles $ρ$ and the temperature $T$ are fixed, then define the canonical magnetization as the partial derivative with respect to $B$ of the reduced free energy. Our main result is that it admits thermodynamic limit for all strictly positive $ρ$, $T$ and $B$. It is also proven that the canonical and grand canonical magnetizations (the last one at fixed average density) are equal up to the surface order corrections.
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