Symmetric Kronecker products and semiclassical wave packets
This is a theoretical contribution to linear algebra with a specific application in semiclassical wave packets, but no empirical results or comparisons are provided.
The authors prove an invariance property for symmetric subspaces under iterated Kronecker products and derive an explicit formula for the symmetric Kronecker product, applying it to the parametrization of semiclassical wave packets.
We investigate the iterated Kronecker product of a square matrix with itself and prove an invariance property for symmetric subspaces. This motivates the definition of an iterated symmetric Kronecker product and the derivation of an explicit formula for its action on vectors. We apply our result for describing a linear change in the matrix parametrization of semiclassical wave packets.