The infinite square well and the attractive Dirac delta function potentials are arguably two of
the most widely used models of one-dimensional bound-state systems in quantum …

The quantum–classical transition for wave packet interference is investigated using a
hydrodynamic description. A nonlinear quantum–classical transition equation is obtained by …

We consider transmission and reflection of narrow Gaussian wave packets by delta
potentials in the cases of constant and specific (inverse linear) time-dependent strength …

We provide simple examples of closed-form Gaussian wave packet solutions of the free-
particle Schrödinger equation in one dimension which exhibit the most general form of the …

Exact solution of the Schrödinger equation is given for a particle inside a hard sphere whose
wall is moving with a constant velocity. Numerical computations are presented for both …

Recently, general point interactions in one dimension has been used to model a large
number of different phenomena in quantum mechanics. Such potentials, however, require …

We consider time-dependent Gaussian wave packet solutions of the Schrödinger equation,
with arbitrary initial central position, x 0, and momentum, p 0, for an otherwise free particle …

We give examples of “shrinking” free wave packets with zero initial velocity in one
dimension. Considering different measures of spatial extension of wave packets, we show …

We study the issues of average forces and the Ehrenfest theorem for a particle restricted to a
semi-infinite interval by an impenetrable wall. We consider and discuss two specific cases:(i) …

We show how the Laplace transform can be used to give a solution of the time-dependent
Schrödinger equation for an arbitrary initial wave packet if the solution of the stationary …