Symmetric Kronecker Products and Semiclassical Wave Packets

A Minimal Uncertainty Product for One Dimensional Semiclassical Wave Packets

Although real, normalized Gaussian wave packets minimize the product of position and momentum uncertainties, generic complex normalized Gaussian wave packets do not. We prove they minimize an alternative product of uncertainties that correspond to variables that are phase space rotations of position and momentum.

On Kronecker Products of Characters of the Symmetric Groups with Few Components

Confirming a conjecture made by Bessenrodt and Kleshchev in 1999, we classify all Kronecker products of characters of the symmetric groups with only three or four components. On the way towards this result, we obtain new information about constituents in Kronecker products.

N ov 2 00 6 Dynamics of semiclassical Bloch wave - packets

The semiclassical approximation for electron wave-packets in crystals leads to equations which can be derived from a Lagrangian or, under suitable regularity conditions, in a Hamiltonian framework. In the plane, these issues are studied using the method of the coadjoint orbit applied to the “enlarged” Galilei group.

On (almost) Extreme Components in Kronecker Products of Characters of the Symmetric Groups

Using a recursion formula due to Dvir, we obtain information on maximal and almost maximal components in Kronecker products of characters of the symmetric groups. This is applied to confirm a conjecture made by Bessenrodt and Kleshchev in 1999, which classifies all such Kronecker products with only three or four components.

The Classical Limit of Bohmian Mechanics: Semiclassical Wave Packets and an Application to Many Particle Scattering Theory