The time-dependent extended Gross-Pitaevskii equation for Bose-Einstein condensates with attractive 1 /r interaction is investigated with both a variational approach and numerically exact… (More)

Previous investigations of the Bose-Einstein condensation of dipolar gases have revealed the existence of universal stability thresholds where collapse of the condensate sets in. We show that these… (More)

The dynamics of quantum systems can be approximated by the time propagation of Gaussian wave packets. Applying a time dependent variational principle, the time evolution of the parameters of the… (More)

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… (More)

In the preceding paper T. Fabčič, J. Main, and G. Wunner, Phys. Rev. A 79, 043416 2009 “restricted Gaussian wave packets” were introduced for the regularized Coulomb problem in the four-dimensional… (More)

Nondispersive wave packets in a fictitious time variable are calculated analytically for the field-free hydrogen atom. As is well known by means of the Kustaanheimo-Stiefel transformation the Coulomb… (More)

Nondispersive wave packets in a fictitious time variable are calculated analytically for the fieldfree hydrogen atom. As is well known by means of the Kustaanheimo-Stiefel transformation the Coulomb… (More)

With increasing energy the diamagnetic hydrogen atom undergoes a transition from regular to chaotic classical dynamics, and the closed orbits pass through various cascades of bifurcations. Closed… (More)

In the preceding paper [T. Fabčič et al., preprint] “restricted Gaussian wave packets” were introduced for the regularized Coulomb problem in the four-dimensional Kustaanheimo-Stiefel coordinates,… (More)