The large-Z Behavior of pseudorelativistic atoms
The large-Z Behavior of pseudorelativistic atoms
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伪相对论原子的大 Z 行为
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发表时间：
2004
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通讯作者：
T. O. Sorensen
中科院分区：
文献类型：
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作者：
T. O. Sorensen
本文研究了具有相对论动能p2c2+m2c4−mc2的原子基态能量的大z行为。我们证明了在Z的第一阶能量与非相对论情况下相同，由（非相对论）托马斯-费米理论给出。为了使问题有意义，我们保持乘积Zα固定（这里α是索默菲尔德精细结构常数），并且小于或等于2∕π，这意味着当Z趋于无穷时，α趋于零。
In this paper we study the large-Z behavior of the ground state energy of atoms with electrons having relativistic kinetic energy p2c2+m2c4−mc2. We prove that to leading order in Z the energy is the same as in the nonrelativistic case, given by (nonrelativistic) Thomas–Fermi theory. For the problem to make sense, we keep the product Zα fixed (here α is Sommerfeld’s fine structure constant), and smaller than, or equal to, 2∕π, which means that as Z tends to infinity, α tends to zero.