TENSOR OPERATORS AND WIGNER-ECKART THEOREM FOR THE QUANTUM SUPERALGEBRA Uq[osp(1 | 2)]
نویسنده
چکیده
Tensor operators in graded representations of Z2−graded Hopf algebras are defined and their elementary properties are derived. WignerEckart theorem for irreducible tensor operators for Uq[osp(1 | 2)] is proven. Examples of tensor operators in the irreducible representation space of Hopf algebra Uq[osp(1 | 2)] are considered. The reduced matrix elements for the irreducible tensor operators are calculated. A construction of some elements of the center of Uq[osp(1 | 2)] is given.
منابع مشابه
Tensor operators and Wigner - Eckart theorem for U q →
Crystal tensor operators, which tranform under Uq→0(sl(2)), in analogous way as the vectors of the crystal basis, are introduced. The WignerEckart theorem for the crystal tensor is defined: the selection rules depend on the initial state and on the component of the tensor operator; the transition amplitudes to the states of the same final irreducible representation are all equal. Postal adress:...
متن کاملIrreducible Tensor Operators and the Wigner - Eckart Theorem
The Wigner-Eckart theorem concerns matrix elements of a type that is of frequent occurrence in all areas of quantum physics, especially in perturbation theory and in the theory of the emission and absorption of radiation. This theorem allows one to determine very quickly the selection rules for the matrix element that follow from rotational invariance. In addition, if matrix elements must be ca...
متن کاملun 1 99 6 Abstract carrier space formalism for the irreducible tensor operators of compact quantum group algebras
carrier space formalism for the irreducible tensor operators of compact quantum group algebras Abstract Defining conditions for irreducible tensor operators associated with the uni-tary irreducible corepresentations of compact quantum group algebras are deduced within the framework of the abstract carrier space formalism. It is shown that there are two types of irreducible tensor operator, whic...
متن کاملun 1 99 6 Irreducible tensor operators in the regular coaction formalisms of compact quantum group algebras
The defining conditions for the irreducible tensor operators associated with the unitary irreducible corepresentions of compact quantum group algebras are deduced first in both the right and left regular coaction formalisms. In each case it is shown that there are two types of irreducible tensor operator , which may be called 'ordinary' and 'twisted'. The consistency of the definitions is demon...
متن کاملIrreducible Tensor Operators and the
The Wigner-Eckart theorem concerns matrix elements of a type that is of frequent occurrence in all areas of quantum physics, especially in perturbation theory and in the theory of the emission and absorption of radiation. This theorem allows one to determine very quickly the selection rules for the matrix element that follow from rotational invariance. In addition, if matrix elements must be ca...
متن کامل