Symmetry properties of matrix elements of canonical SU(3) tensor operators

1994 ◽  
Vol 35 (12) ◽  
pp. 6672-6684 ◽  
Author(s):  
L. C. Biedenharn ◽  
M. A. Lohe ◽  
H. T. Williams
Keyword(s):  
Matrix Elements ◽  
Symmetry Properties ◽  
Tensor Operators

Understanding the q-Factors in Quantum Group Symmetry

1997 ◽  
Vol 52 (1-2) ◽  
pp. 59-62
Author(s):  
L. C. Biedenharnf ◽  
K. Srinivasa Rao
Keyword(s):  
Characteristic Feature ◽  
Quantum Group ◽  
Quantum Groups ◽  
Group Symmetry ◽  
Explicit Calculation ◽  
Matrix Elements ◽  
Structural Symmetry ◽  
Symmetry Properties ◽  
Q Factors ◽  
Tensor Operators

AbstractA characteristic feature of quantum groups is the occurrence of q-factors (factors of the form qk, k ∈ ℝ), which implement braiding symmetry. We show how the q-factors in matrix elements of elementary q-tensor operators (for all Uq(n)) may be evaluated, without explicit calculation, directly from structural symmetry properties.

Reduced Matrix Elements of Tensor Operators

1970 ◽  
Vol 11 (4) ◽  
pp. 1198-1204 ◽  
Author(s):  
John S. Briggs
Keyword(s):  
Matrix Elements ◽  
Tensor Operators

Polar structures in the theory of conjugated molecules. II. Symmetry properties and matrix elements for polar structures

1950 ◽  
Vol 200 (1062) ◽  
pp. 390-401 ◽  
Keyword(s):  
Valence Bond ◽  
Matrix Elements ◽  
Conjugated Molecules ◽  
Energy Calculations ◽  
Valence Bond Theory ◽  
Energy Parameters ◽  
Symmetry Properties ◽  
The Matrix ◽  
Bond Theory ◽  
Usual Formalism

The inclusion of polar structures in the valence-bond theory of π-electrons entails some additions to the usual formalism, and these are given in this part. The symmetry properties of sets of structures, both non-polar and polar, and the matrix elements that come into energy calculations, are dealt with. Using the work of part I, and the conclusions of this part, the energy parameters for work with polar structures are evaluated.

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