和谐困水母
Harmonically trapped jellium
摘要：
讨论了$D$维受限电子气模型，其中粒子被简谐势捕获。特别是，我们研究了有限大小的非均匀系统的非相互作用的动能和交换能，并比较所得到的Ekas-Fermi和Dirac系数与各种均匀的电子气范例。我们表明，在热力学极限下，该模型的性质是相同的$D$维费米气体。
英文摘要：
We discuss the model of a $D$-dimensional confined electron gas in which the particles are trapped by a harmonic potential. In particular, we study the non-interacting kinetic and exchange energies of finite-size inhomogeneous systems, and compare the resulting Thomas-Fermi and Dirac coefficients with various uniform electron gas paradigms. We show that, in the thermodynamic limit, the properties of this model are identical to those of the $D$-dimensional Fermi gas.
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