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Dwell Time of Particles in Tunneling Barriers of Arbitrary Shape |
| BAI Er-juan1;SHU Qi-qing2 |
| 1Institute of Applied Nuclear Technology,
2School of Science, Shenzhen University, Shenzhen 518060 |
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| Cite this article: |
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BAI Er-juan, SHU Qi-qing 1998 Chin. Phys. Lett. 15 862-864 |
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Abstract For a one-dimensional barrier of arbitrary shape, an expression of the dwell time of tunneling particles has been obtained by subdividing it into infinitesimal rectangular barrier elements and then summing the dwell times spent by particles inside the barrier elements, and the dwell times in a parabolic potential barrier were calculated. The results show that the dwell times are almost independent of the barrier width as it is greater than a characteristic width Wc. This can be ascribed that in the width range beyond Wc, the tunneling probabilities through the barrier elements are very small, thus the times taken to tunnel through them make little contribution to the summation of the dwell times in all the barrier elements.
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| Keywords:
03.65.-w
73.40.Gk
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Published: 01 December 1998
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