论文标题
通过重构的折叠式折叠式转换，用球形标量和矢量电势对狄拉克方程的非相关主义扩展
Non-relativistic expansion of Dirac equation with spherical scalar and vector potentials by reconstituted Foldy-Wouthuysen transformation
论文作者
论文摘要
受到重构相似性重归其化组方法的启发，提出了重构的折叠式 - 空白（FW）转换。重组的FW转换应用于协变量密度函数理论中的DIRAC方程，显示了单粒子能量频谱的快速收敛。还研究了这种新方法获得的单粒子密度和单粒子标量密度。特别是，详细讨论了Schrödinger和Dirac图片之间的相对论校正图片变化误差的密度。考虑到这些相对论校正，单粒子密度和单粒子标量密度几乎与其确切值相同。
Inspired by the reconstituted similarity renormalization group method, the reconstituted Foldy-Wouthuysen (FW) transformation is proposed. Applied to the Dirac equation in the covariant density functional theory, the reconstituted FW transformation shows a fast convergence of the spectrum of the single-particle energy. The single-particle densities and the single-particle scalar densities obtained by this new method are also investigated. In particular, the relativistic corrections to the densities from the picture-change error between the Schrödinger and Dirac pictures are discussed in detail. Taking these relativistic corrections into account, both the single-particle densities and the single-particle scalar densities are almost identical to their exact values.
