dorsal/arxiv
View SchemaClassical trajectories and quantum tunneling
| Authors | Boris Ivlev |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0305061 |
| URL | https://arxiv.org/abs/quant-ph/0305061 |
Abstract
The problem of inter-band tunneling in a semiconductor (Zener breakdown) in a nonstationary and homogeneous electric field is solved exactly. Using the exact analytical solution, the approximation based on classical trajectories is studied. A new mechanism of enhanced tunneling through static non-one-dimensional barriers is proposed in addition to well known normal tunneling solely described by a trajectory in imaginary time. Under certain conditions on the barrier shape and the particle energy, the probability of enhanced tunneling is not exponentially small even for non-transparent barriers, in contrast to the case of normal tunneling.
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"abstract": "The problem of inter-band tunneling in a semiconductor (Zener breakdown) in a\nnonstationary and homogeneous electric field is solved exactly. Using the exact\nanalytical solution, the approximation based on classical trajectories is\nstudied. A new mechanism of enhanced tunneling through static\nnon-one-dimensional barriers is proposed in addition to well known normal\ntunneling solely described by a trajectory in imaginary time. Under certain\nconditions on the barrier shape and the particle energy, the probability of\nenhanced tunneling is not exponentially small even for non-transparent\nbarriers, in contrast to the case of normal tunneling.",
"arxiv_id": "quant-ph/0305061",
"authors": [
"Boris Ivlev"
],
"categories": [
"quant-ph"
],
"title": "Classical trajectories and quantum tunneling",
"url": "https://arxiv.org/abs/quant-ph/0305061"
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