论文标题
在Q粒子的热力学上
On the Thermodynamics of the q-Particles
论文作者
论文摘要
Since the grand partition function $Z_q$ for the so-called $q$-particles (i.e.,\ quons), $q\in(-1,1)$, cannot be computed by using the standard 2nd quantisation technique involving the full Fock space construction for $q=0$, and its $q$-deformations for the remaining cases, we determine such grand partition functions in order to obtain the natural generalisation of the Plank distribution to $ q \ in [-1,1] $。我们还注意到，通过使用完整的Fock Space 2n量化，可以轻松地获得有关Boltzmann案件（即\ $ Q = 0 $）的正确宏伟分区功能（即，可以通过考虑Gibbs因子$ 1/n！$在功率系列中$ n $ n $ n $ z $ z $ z $ z $ z $ z $ n $ n $ n $ n n $。作为应用程序，我们简要讨论了自由Quons的气体或凝结现象进入基态的状态方程，也出现在类似Bose的Quons $ Q \（0,1）$的情况下。
Since the grand partition function $Z_q$ for the so-called $q$-particles (i.e.,\ quons), $q\in(-1,1)$, cannot be computed by using the standard 2nd quantisation technique involving the full Fock space construction for $q=0$, and its $q$-deformations for the remaining cases, we determine such grand partition functions in order to obtain the natural generalisation of the Plank distribution to $q\in [-1,1]$. We also note the (non) surprising fact that the right grand partition function concerning the Boltzmann case (i.e.,\ $q=0$) can be easily obtained by using the full Fock space 2nd quantisation, by considering the appropriate correction by the Gibbs factor $1/n!$ in the $n$ term of the power series expansion with respect to the fugacity $z$. As an application, we briefly discuss the equations of the state for a gas of free quons or the condensation phenomenon into the ground state, also occurring for the Bose-like quons $q\in(0,1)$.
