论文标题
Q形成的相对论理想费米气体的恒温量
Thermostatistics of a q-deformed Relativistic Ideal Fermi Gas
论文作者
论文摘要
在本文中，我们为相对论费米气体制定了Q构造的多体理论，并讨论了变形参数Q对此类系统物理性质的影响。由于反粒子激发出现在相对论方案中，因此必须仔细采取适合对费米子和反激素的变形参数的合适处理，以获得一致的理论。通过应用此公式，我们进一步研究了Q具有Q形式的理想相对论费米气体的恒温特性。可以证明，即使在非相互作用的情况下，系统也表现出有趣的特征，这些特征与普通的费米气体明显不同。明确的是，由于变形参数q的化学势转移，反粒子可能会占主导地位。这可能为对Q具有相对论的相互作用系统的进一步研究奠定了坚实的基础。
In this paper, we formulate a q-deformed many-body theory for the relativistic Fermi gas and discuss the effects of the deformation parameter q on physical properties of such systems. Since antiparticle excitations appear in the relativistic regime, a suitable treatment to the choice of deformation parameters for both fermions and antifermions must be carefully taken in order to get a consistent theory. By applying this formulation, we further study the thermostatistic properties of a q-deformed ideal relativistic Fermi gas. It can be shown that even in the noninteracting scenario, the system exhibits interesting characteristics which are significantly different from ordinary Fermi gases. Explicitly, antiparticles may become dominant due to the shift of chemical potential by the deformation parameter q. This may build a solid foundation for the further studies of q-deformed relativistic interacting systems.
