Explicit solution for a Gaussian wave packet impinging on a square barrier

Abstract

The collision of a quantum Gaussian wave packet with a square barrier is solved explicitly in terms of known functions. The obtained formula is suitable for performing fast calculations or asymptotic analysis. It also provides physical insight since the description of different regimes and collision phenomena typically requires only some of the terms.

To be published in J. Phys. A

References in corpus (5)

• Time of arrival in the presence of interactions
• Generalizations of Kijowski's time-of-arrival distribution for interaction potentials
• Barrier traversal times using a phenomenological track formation model
• Transient interference of transmission and incidence
• Transient response of a quantum wave to an instantaneous potential step switching

Cited by in corpus (3)

• Transient effects and reconstruction of the energy spectra in the time evolution of transmitted Gaussian wave packets
• Tunnelling of plane waves through a square barrier
• Low Momentum Classical Mechanics with Effective Quantum Potentials