Tunnelling of plane waves through a square barrier
Abstract
The time evolution of plane waves in the presence of a one-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.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- August 2008
- DOI:
- 10.1088/1751-8113/41/30/304010
- arXiv:
- arXiv:0801.1824
- Bibcode:
- 2008JPhA...41D4010J
- Keywords:
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- Quantum Physics
- E-Print:
- 16 pages