On the virial theorem for the relativistic operator of Brown and Ravenhall, and the absence of embedded eigenvalues
On the virial theorem for the relativistic operator of Brown and Ravenhall, and the absence of embedded eigenvalues
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关于布朗和拉文霍尔相对论算子的维里定理，以及嵌入特征值的缺失
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
W.D.Evans
中科院分区：
文献类型：
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作者：
A.A.Balinsky;W.D.Evans
.本文对Brown和Ravenhall提出的相对论单电子原子模型建立了维里定理。因此，证明了对于低于临界值Zc的所有核电荷Z值，算子没有大于max（mc 2，2 αZ − 12）的本征值，其中α是精细结构常数：特别是当Z ≤ 3 / 4 α时，没有本征值嵌入本质谱。在分波分解的运营商的影响也被描述。
. A virial theorem is established for the operator proposed by Brown and Ravenhall as a model for relativistic one-electron atoms. As a consequence, it is proved that the operator has no eigenvalues greater than max( mc 2 , 2 αZ − 12 ), where α is the fine structure constant, for all values of the nuclear charge Z below the critical value Z c : in particular there are no eigenvalues embedded in the essential spectrum when Z ≤ 3 / 4 α . Implications for the operators in the partial wave decomposition are also described.