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Understanding Quantum Superarrivals using the Bohmian model

Md. Manirul Ali·A. S. Majumdar·Dipankar Home
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Abstract

We investigate the orgin of ``quantum superarrivals'' in the reflection and transmission probabilities of a Gaussian wave packet for a rectangular potential barrier while it is perturbed by either reducing or increasing its height. There exists a finite time interval during which the probability of reflection is {\it larger} (superarrivals) while the barrier is {\it lowered} compared to the unperturbed case. Similarly, during a certain interval of time, the probability of transmission while the barrier is {\it raised} {\it exceeds} that for free propagation. We compute {\it particle trajectories} using the Bohmian model of quantum mechanics in order to understand {\it how} this phenomenon of superarrivals occurs.

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Md. Manirul Ali, A. S. Majumdar, Dipankar Home. 2002-10-04. Understanding Quantum Superarrivals using the Bohmian model. https://doi.org/10.1016/s0375-9601(02)01353-1

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