Universal potential barrier penetration by initially confined wavepackets

Abstract

The dynamics of an initially sharp-boundary wavepacket in the presence of an arbitrary potential barrier are investigated. It is shown that the penetration through the barrier is universal in the sense that it depends only on the values of the wavefunction and its derivatives at the boundary. The dependence on the derivatives vanishes at long distances from the barrier, where the dynamics are governed solely by the initial value of the wavefunction at the boundary.

4 pages, 2 figures

References in corpus (2)

• Decay by tunneling of Bosonic and Fermionic Tonks-Girardeau Gases
• Generic Short-Time Propagation of Sharp-Boundaries Wave Packets

Cited by in corpus (1)

• Quantum matter wave dynamics with moving mirrors