Abstract: | The irreducible tensor operators and their tensor products employing Racah algebra are studied. Transformation procedure of
the coordinate system operators act on are introduced. The rotation matrices and their parametrization by the spherical coordinates
of vector in the fixed and rotated coordinate systems are determined. A new way of calculation of the irreducible coupled
tensor product matrix elements is suggested. As an example, the proposed technique is applied for the matrix element construction
for two electrons in a field of a fixed nucleus. |