a Study of Quantum Wave Packets.

V. K. Ignatovich

John A. Yeazell, T. Uzer

Wave Packets: Past and Present (M. Nauenberg). Semiclassical Wave Packets (E. Heller). Excitation of Atomic Wave Packets (J. Yeazell). From Asteroids to Atoms: Quantum Wave Packets and the Restricted Three--Body Problem of Celestial Mechanics (E. Lee, et al.). Destruction of Quantum Coherence and Wave Packet Dynamics (G. Alber). Wave Packets and Half--Cycle Pulses (P. Bucksbaum). Exploring Phase Space with Wave Packets (F. Borondo & R. Benito). Wave Packet Dynamics in Small Molecules (M. Braun, et al.). Time Dependent and Time Independent Wave Packet Approaches to Reactive Scattering (S. Althorpe, et al.). Laser--Excited Wave Packets in Semiconductor Heterostructures (K. Leo & M. Koch). Index.

J. Broeckhove, Luc Lathouwers, Piet Van Leuven

Robert Bluhm, V. Alan Kostelecký, Bogdan Tudose

We examine the revival structure of Rydberg wave packets. These wave packets exhibit initial classical periodic motion followed by a sequence of collapse, fractional/full revivals, and fractional/full superrevivals. The effects of quantum defects on wave packets in alkali-metal atoms and a squeezed-state description of the initial wave packets are also described. We then examine the revival structure of Rydberg wave packets in the presence of an external electric field, i.e., the revival structure of Stark wave packets. These wave packets have energies that depend on two quantum numbers and exhibit new types of interference behavior.

Mustapha Maamache, Yacine Bouguerra, Jeong Ryeol Choi

A Gaussian wave packet of the inverted oscillator is investigated using the invariant operator method together with the unitary transformation method. A simple wave packet directly derived from the eigenstates of the invariant operator of the system corresponds to a plane wave that is fully delocalized. However, we can construct a weighted wave packet in terms of such plane waves, which corresponds to a Gaussian wave. This wave packet is associated with the generalized coherent state, which can be crucially utilized for investigating the classical limit of quantum wave mechanics. Various quantum properties of the system, such as fluctuations of the canonical variables, the uncertainty product, and the motion of the wave packet or quantum particle, are analyzed by means of this wave packet. We have confirmed that the time behavior of such a wave packet is very similar to the counterpart classical state. The wave packet runs away from the origin in the positive or negative direction in the 1D coordinate depending on the condition of the initial state. We have confirmed that this wave packet not only moves acceleratively but also spreads out during its propagation.

Daniel Alfred Horke, Sebastian H. Trippel, Jochen Küpper