Understanding Quantum Superarrivals using the Bohmian model

Details Understanding Quantum Superarrivals using the Bohmian model Understanding Quantum Superarrivals using the Bohmian model

2002-06-05

arxiv.org/abs/quant-ph/0206027v2

Phys. Lett. A 304 (2002) 61

Physics

Quantum Physics

5 pages, Latex, 4 .eps figures, typos corrected, comments added, accepted for publication in Physics Letters A

Scientific paper

10.1016/S0375-9601(02)01353-1

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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