Keyfi Yarım Spinli Parçacıklar için Rölativistik İki-Merkezli Örtme İntegrali
The relativistic Ψ^αs-exponential-type spinor orbitals for arbitrary half-integrals spin s, s=1/2,3/2,5/2,… particles is defined. The two-center overlap integrals of spin s=1/2 spinors are generalized to any half-integral spin. They are expressed in terms of non-relativistic Ψ^α-exponential-type orbitals introduced by Guseinov, where α=1,0,-1,-2,-3,…. The relativistic molecular auxiliary functions approximation derived in a previous paper by the author in [Physical Review E 2015; 91(2): 023303] is used for computation of the two-center integrals. The calculations are performed for spin s, s=1/2, s=3/2 and α=1,0,-1,-2,-3,-4,-5 for each value of spin. The coupling feature between lower- and upper-components of Ψ^αs-exponential-type spinor orbitals ensure that the kinetic-balance condition is fulfilled. It is shown that, the suggested relativistic basis spinors in the present study available to be used for algebraic solution of the generalized Dirac equation.
The Relativistic Two-center Overlap Integrals of Arbitrary Half-Integral Spin Particles
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