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Application of symbolic programming for atomic many-body theory
Rytis Jursenas, Gintaras Merkelis
In the present paper by using Mathematica system a symbolic programming method for generation of the expressions of the expansion terms of atomic stationary perturbation theory (PT…
Coupled tensorial form for atomic relativistic two-particle operator given in second quantization representation
Rytis Jursenas, Gintaras Merkelis
General formulas of the two-electron operator representing either atomic or effective interactions are given in a coupled tensorial form in relativistic approximation. The alternat…
Irreducible tensor form of three-particle operator for open-shell atoms
Rytis Jursenas, Gintaras Merkelis
The three-particle operator in a second quantized form is studied. The operator is transformed into irreducible tensor form. Possible coupling schemes, distinguished by the classes…
The transformation of irreducible tensor operators under spherical functions
R. Jursenas, G. Merkelis
The irreducible tensor operators and their tensor products employing Racah algebra are studied. Transformation procedure of the coordinate system operators act on are introduced. T…