Wave packet dynamics in hole Luttinger systems

Fictitious-Time Wave-Packet Dynamics in Atomic Systems

Gaussian wave packets (GWPs) are well suited as basis functions to describe the time evolution of arbitrary wave functions in systems with non-singular smooth potentials. They are rare in atomic systems on account of the singular behaviour of the Coulomb potential. We present a time-dependent variational method that makes the use of GWPs possible in the description of propagation of quantum sta...

Wave packet dynamics in atomic systems and Bose - Einstein condensates

Extended Gaussian wave packet dynamics

Wave packet dynamics has exposed interesting new phenomena in several fields. In femto-chemistry [1,2] we are now able to time-resolve chemical processes and also observe effects such as the breakup and revival of wave packets [3]. In atom optics wave packets are used to model matter waves [4] and electron wave packets are seen in the dynamics of Rydberg atoms [5]. The numerical modelling of wa...

Symplectic semiclassical wave packet dynamics

The paper gives a symplectic-geometric account of semiclassical Gaussian wave packet dynamics. We employ geometric techniques to “strip away” the symplectic structure behind the time-dependent Schrödinger equation and incorporate it into semiclassical wave packet dynamics. We show that the Gaussian wave packet dynamics of Heller is a Hamiltonian system with respect to the symplectic structure, ...

Generalized Gaussian wave packet dynamics: Integrable and chaotic systems.

The ultimate semiclassical wave packet propagation technique is a complex, time-dependent Wentzel-Kramers-Brillouin method known as generalized Gaussian wave packet dynamics (GGWPD). It requires overcoming many technical difficulties in order to be carried out fully in practice. In its place roughly twenty years ago, linearized wave packet dynamics was generalized to methods that include sets o...