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arXiv:quant-ph/0408028

Above potential barrier diffusion

Alex E. Bernardini, Stefano De Leo, PIETRO P. ROTELLI

Published Aug 4, 2004• 1 citation
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Abstract

The stationary phase method is applied to diffusion by a potential barrier for an incoming wave packet with energies greater then the barrier height. It is observed that a direct application leads to paradoxical results. The correct solution, confirmed by numerical calculations is the creation of multiple peaks as a consequence of multiple reflections. Lessons concerning the use of the stationary phase method are drawn.

DOI
10.48550/arxiv.quant-ph/0408028

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The stationary phase method is applied to diffusion by a potential barrier for an incoming wave packet with energies greater then the barrier height. It is observed that a direct application leads to paradoxical results. The correct solution, confirmed by numerical calculations is the creation of multiple peaks as a consequence of multiple reflections. Lessons concerning the use of the stationary phase method are drawn.
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