Tunnelling of plane waves through a square barrier
J. Julve, F. J. de Urries
TL;DR
This paper analytically examines how plane waves evolve over time when encountering a 1D square quantum barrier, emphasizing the role of resonant states and comparing infinite versus cut-off initial conditions.
Contribution
It provides an analytical solution for the time evolution of plane waves in a quantum barrier, highlighting the impact of resonant states and initial wave conditions.
Findings
Resonant (Gamow) states significantly influence tunnelling dynamics.
Differences between infinite and cut-off initial waves affect tunnelling analysis.
Analytical solutions clarify the role of resonant states in quantum tunnelling.
Abstract
The time evolution of plane waves in the presence of a 1-dimensional square quantum barrier is considered. Comparison is made between the cases of an infinite and a cut-off (shutter) initial plane wave. The difference is relevant when the results are applied to the analysis of the tunnelling regime. This work is focused on the analytical calculation of the time-evolved solution and highlights the contribution of the resonant (Gamow) states. PACS numbers: 11.10.Ef, 11.10.Lm, 04.60
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.