dorsal/arxiv
View SchemaUnderstanding Quantum Superarrivals using the Bohmian model
| Authors | Md. Manirul Ali, A. S. Majumdar, Dipankar Home |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0206027 |
| URL | https://arxiv.org/abs/quant-ph/0206027 |
| DOI | 10.1016/S0375-9601(02)01353-1 |
| Journal | Phys. Lett. A 304 (2002) 61 |
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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"abstract": "We investigate the orgin of ``quantum superarrivals\u0027\u0027 in the reflection and\ntransmission probabilities of a Gaussian wave packet for a rectangular\npotential barrier while it is perturbed by either reducing or increasing its\nheight. There exists a finite time interval during which the probability of\nreflection is {\\it larger} (superarrivals) while the barrier is {\\it lowered}\ncompared to the unperturbed case. Similarly, during a certain interval of time,\nthe probability of transmission while the barrier is {\\it raised} {\\it exceeds}\nthat for free propagation. We compute {\\it particle trajectories} using the\nBohmian model of quantum mechanics in order to understand {\\it how} this\nphenomenon of superarrivals occurs.",
"arxiv_id": "quant-ph/0206027",
"authors": [
"Md. Manirul Ali",
"A. S. Majumdar",
"Dipankar Home"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0375-9601(02)01353-1",
"journal_ref": "Phys. Lett. A 304 (2002) 61",
"title": "Understanding Quantum Superarrivals using the Bohmian model",
"url": "https://arxiv.org/abs/quant-ph/0206027"
},
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