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arXiv · 1902.00381

Tunneling time from locally periodic potential in space fractional quantum mechanics

Mohammad Hasan·Bhabani Prasad Mandal
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Abstract

We calculate the time taken by a wave packet to travel through a classically forbidden locally periodic rectangular potential in space fractional quantum mechanics (SFQM). We obtain the close form expression of tunneling time from such a potential by stationary phase method. We show that tunneling time depends upon the width $b$ of the single barrier and separation $L$ between the barriers in the limit $b \to \infty$ and therefore generalized Hartman effect doesn't exist in SFQM. We observe that in SFQM, the tunneling time for large $b$ in the case of locally periodic potential is smaller than the tunneling from a single barrier of the same width $b$. It is further shown that with the increase in barrier numbers, the tunneling time reduces in SFQM in the limit of large $b$.

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Mohammad Hasan, Bhabani Prasad Mandal. 2019-01-31. Tunneling time from locally periodic potential in space fractional quantum mechanics. https://arxiv.org/abs/1902.00381

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