Theory of complete orthonormal relativistic vector wave function sets and Slater type relativistic vector orbitals in coordinate,momentum and four-dimensional spaces |
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Authors: | I I Guseinov |
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Institution: | 1.Department of Physics, Faculty of Arts and Sciences,Onsekiz Mart University,?anakkale,Turkey |
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Abstract: | The new analytical relations for the relativistic vector wave functions and Slater type relativistic vector orbitals in coordinate,
momentum and four-dimensional spaces are derived using the properties of quasirelativistic vector spherical harmonics introduced
by the author in previous paper (I.I. Guseinov, J. Math. Chem., 44, 197 (2008)) and complete orthonormal scalar basis sets
of nonrelativistic ψ
α
-exponential type orbitals (ψ
α
-ETO), -momentum space orbitals ( -MSO) and z
α
-hyperspherical harmonics (z
α
-HSH). The 6-component relativistic vector wave functions obtained are complete without the inclusion of the continuum. The
relativistic vector wave function sets and Slater type relativistic vector orbitals are expressed through the corresponding
quasirelativistic vector wave functions and Slater vector orbitals, respectively. The analytical formulas are also derived
for overlap integrals over Slater type relativistic vector orbitals with the same screening constants in coordinate space. |
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Keywords: | Vector spherical harmonics Slater type vector orbitals Overlap integrals |
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