论文标题
CASIMIR相互作用的有效结合电位：BOSE气体的情况
Effective binding potential from Casimir interactions: the case of the Bose gas
论文作者
论文摘要
我们考虑了理想的bose气体中的热Casimir效应，其中分散关系在动量中涉及术语二次和四分之一。我们证明，如果将宏观物体沉浸在\ {3,7、11，11，\ dots \} $的空间维度中，并且在临界温度$ t_c $中，其作用的casimir力量的符号的特征是符号的特征是在身体之间的分离$ d $ d的分离，并且在大型距离之间进行了较小的距离，以较大的距离，以较大的距离，以较大的距离，以较大的距离的距离。因此，在有限分离时结合两个物体的有效电位。我们证明，对于奇数整数维度$ d \ in \ {3，5，7，\ dots \} $，Casimir Energy是$ d^{ - 2} $的度量$（d-1）$的多项式。我们指出了维度的非常特殊的作用，$ d = 3 $，在其中，我们得出了一种非常简单的Casimir Energy，作为Bose-Einstein凝结的$ D $的函数。我们讨论了在凝结温度上方的Casimir相互作用的单调和振荡衰减之间的跨界。
We consider the thermal Casimir effect in ideal Bose gases, where the dispersion relation involves both terms quadratic and quartic in momentum. We demonstrate that if macroscopic objects are immersed in such a fluid in spatial dimensionality $d\in\{3,7, 11, \dots\}$ and at the critical temperature $T_c$, the Casimir force acting between them is characterized by a sign which depends on the separation $D$ between the bodies and changes from attractive at large distances to repulsive at smaller separations. In consequence, an effective potential which binds the two objects at a finite separation arises. We demonstrate that for odd integer dimensionality $d\in \{3, 5, 7, \dots\}$, the Casimir energy is a polynomial of degree $(d-1)$ in $D^{-2}$. We point out a very special role of dimensionality $d=3$, where we derive a strikingly simple form of the Casimir energy as a function of $D$ at Bose-Einstein condensation. We discuss crossover between monotonous and oscillatory decay of the Casimir interaction above the condensation temperature.
