任意自旋粒子的非相对论、准相对论和相对论波函数集及Slater轨道
Nonrelativistic, Quasirelativistic and Relativistic Sets of Wave Functions, and Slater Orbitals of Particles with Arbitrary Spin
摘要:
本文利用作者在以前的文章中为任意自旋粒子引入的非相对论和准相对论轨道的完全正交基组,导出了坐标、动量和四维空间中的多分量相对论张量波函数和张量Slater轨道的新的解析关系式,其中.相对论张量函数集通过相应的非相对论和准相对论轨道表示。导出了坐标空间中具有相同屏蔽常数的相对论张量Slater轨道上重叠积分的解析公式。
英文摘要:
Using the complete orthonormal basis sets of nonrelativistic and quasirelativistic orbitals introduced by the author in previous papers for particles with arbitrary spin the new analytical relations for the -component relativistic tensor wave functions and tensor Slater orbitals in coordinate, momentum and four-dimensional spaces are derived, where. The relativistic tensor function sets are expressed through the corresponding nonrelativistic and quasirelativistic orbitals. The analytical formulas for overlap integrals over relativistic tensor Slater orbitals with the same screening constants in coordinate space are also derived.
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