2010/04/30 by Rytis Juršėnas, R. Jursenas, Gintaras Merkelis +1
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Algebraic and Geometric Analysis #Cartesian tensor #Invariants of tensors #Matrix Theory and Algorithms #Symmetric tensor #Tensor (intrinsic definition) #Tensor contraction #Tensor density #Tensor field #Tensor operator #Tensor product #Tensor product of Hilbert spaces #math-ph #math.MP #msc:33C05 #msc:47A80
paper · pdf · doi:10.1007/s10773-010-0410-6
To appear in Int. J. Theor. Phys
arxiv created 2010/06/14 · openalex publication_date 2010/06/30 · arxiv updated 2015/05/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.