Weyl's theorem, tensor products and multiplication operators

Composition Operators and Multiplication Operators on Orlicz Spaces

This article has no abstract.

Spectra of Tensor Products of Operators

Irreducible 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...

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:...

Tensor Products of Holomorphic Representations and Bilinear Differential Operators

Let be weighted Bergman space on a bounded symmetric domain . It has analytic continuation in the weight and for in the so-called Wallach set still forms unitary irreducible (projective) representations of . We give the irreducible decomposition of the tensor product of the representation for any two unitary weights and we find the highest weight vectors of the irreducible components. We find a...