论文标题
在一般边界条件下的热Casimir效应
Thermal Casimir effect with general boundary conditions
论文作者
论文摘要
在本文中,我们研究了在热平衡处的两个平面,各向同性和同质平行板之间的标量量子场的系统。我们用最一般的无损和频率独立边界条件表示板,该条件满足了各向同性和同质性的条件,并且与量子场理论的单位性兼容。在这些条件下,我们计算到量子真空能的热校正是温度的函数和编码边界条件的参数。后者使我们能够获得板之间的压力和距熵的量子热校正的类似结果。我们发现我们的系统在任何边界条件上都是热力学稳定的,并且我们确定了临界温度,在某些边界条件下产生有吸引力,排斥性和无效的Casimir力。
In this paper we study the system of a scalar quantum field confined between two plane, isotropic, and homogeneous parallel plates at thermal equilibrium. We represent the plates by the most general lossless and frequency-independent boundary conditions that satisfy the conditions of isotropy and homogeneity and are compatible with the unitarity of the quantum field theory. Under these conditions we compute the thermal correction to the quantum vacuum energy as a function of the temperature and the parameters encoding the boundary condition. The latter enables us to obtain similar results for the pressure between plates and the quantum thermal correction to the entropy. We find out that our system is thermodynamically stable for any boundary conditions, and we identify a critical temperature below which certain boundary conditions yield attractive, repulsive, and null Casimir forces.