Tunnelling of plane waves through a square barrier

Details Tunnelling of plane waves through a square barrier Tunnelling of plane waves through a square barrier

2008-01-11

arxiv.org/abs/0801.1824v1

Physics

Quantum Physics

16 pages

Scientific paper

10.1088/1751-8113/41/30/304010

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

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