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arXiv 1004.5246physics.atom-ph
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开壳层原子三粒子算符的不可约张量形式

Irreducible tensor form of three-particle operator for open-shell atoms

Rytis Jursenas, Gintaras Merkelis

摘要:

研究了三粒子算符的第二量子化形式。该算子被转化为不可约张量形式。可能的耦合方案,区分对称群\mathrm{S_{6}}的类,提出。再耦合系数,它允许一个转换到另一个给定的计划,通过使用角动量理论,结合准自旋形式主义。对作用于n= 1,2,…,考虑了原子的6个等效电子的开壳层。研究了构造三粒子矩阵元的方法。

英文摘要:

The three-particle operator in a second quantized form is studied. The operator is transformed into irreducible tensor form. Possible coupling schemes, distinguished by the classes of symmetric group \mathrm{S_{6}}, are presented. Recoupling coefficients, which allow one to transform given scheme into another, are produced by using the angular momentum theory, combined with quasispin formalism. The classification of three-particle operator, which acts on n=1,2,...,6 open shells of equivalent electrons of atom, is considered. The procedure to construct three-particle matrix elements are examined.

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