The numerical prediction, theoretical analysis, and experimental verification of the phenomenon of wave packet revivals in quantum systems has flourished over the last decade and a half. Quantumâ€¦ (More)

We compare the classical and quantum mechanical position-space probability densities for a particle in an asymmetric infinite well. In an idealized system with a discontinuous step in the middle ofâ€¦ (More)

The rigid pendulum, both as a classical and as a quantum problem, is an interesting system as it has the exactly soluble harmonic oscillator and the rigid rotor systems as limiting cases in theâ€¦ (More)

We calculate the Wigner quasi-probability distribution for position and momentum, P (n) W (x, p), for the energy eigenstates of the standard infinite well potential, using both xand p-spaceâ€¦ (More)

We discuss the time development of Gaussian wave packet solutions of the â€˜quantum bouncerâ€™ (a quantum mechanical particle subject to a uniform downward force, above an impermeable flat surface). Weâ€¦ (More)

Abstract We examine the long-term time-dependence of Gaussian wave packets in a circular infinite well (billiard) system and find that there are approximate revivals. For the special case of purely mâ€¦ (More)

We consider time-dependent Gaussian wave packet solutions of the SchrÃ¶dinger equation (with arbitrary initial central position, x0, and momentum, p0, for an otherwise free-particle, but with anâ€¦ (More)

Abstract A simple model wavefunction, consisting of a linear combination of two free-particle Gaussians, describes many of the observed features seen in the interactions of two isolated Bose-Einsteinâ€¦ (More)