Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/9607005 · Physics Letters A

Low energy wave packet tunneling from a parabolic potential well through a high potential barrier

V. V. Dodonov, A. B. Klimov, Vladimir I. Man’ko

Published Sep 1, 1996• 21 citations
arXivHTMLPDF
DOI
10.1016/0375-9601(96)00482-3

Related papers

A Superluminal Dirac Wave-packet Tunneling through a Wide Potential Barrier of Low Energy

Y J Lee, Young Jae Lee

Journal of the Korean Physical Society•Apr 1, 2004•3 citations

The dependence of the time delay on the shape of the wave packet tunneling through the potential barrier

Andrey A. Bocharov

The European Physical Journal D•Jul 1, 2020•3 citations

Quantum Rate Theory for Solids. II. One-Dimensional Tunneling Effects

Jerome H. Weiner, Yehuda Partom

The effects of tunneling are included in a one-dimensional rate theory which utilizes the concept of an ensemble of appropriate minimum-uncertainty wave packets (coherent states). An approximate tunneling formula for such wave packets is developed for a piecewise quadratic potential representing a well followed by a barrier; it is based on an exact solution for a Gaussian wave packet moving on a parabolic barrier. A new method for the numerical solution of the time-dependent Schr\"odinger equation is presented and used to check this approximate tunneling formula. The addition of tunneling to the effect of quantum statistics gives a rate formula which approximates the classical result at high-temperature levels and approaches a constant rate determined by tunneling at very low-temperature levels.

Physical Review•Nov 15, 1969•69 citations

Under the Barrier Wave Packet Tunneling Dynamics

Allison L. Harris, Torrey Saxton, Glenn Dusing

Bulletin of the American Physical Society•Oct 31, 2019•0 citations

Tunneling of slow quantum packets through the high Coulomb barrier

Alexandre V. Dodonov, V. V. Dodonov

arXiv:1402.3837•Physics Letters A•Feb 17, 2014•14 citations

Dinamika Paket Gelombang Elektron yang Menerobos Penghalang Trapesium dengan Ketebalan Nanometer

Maharati Hamida, Khairurrijal Khairurrijal, Mikrajuddin Abdullah

A simulation of the dynamics of electrone wave packet tunneling through a potential barrier in a MOS (metal-oxide-semiconductor) diode was performed by solving the time-dependent Schrodinger equation using the finite difference method. The wave packet is initially located in the semiconductor layer then moves toward to the oxide layer and probably tunnels through and/or is reflected by the oxide layer. The wave packet is deformed when it reaches the oxide layer. It is found that the higher the wave packet energy, the faster the wave packet moves and the higher the probability of transmitting the wave packet for the same bias voltage. It was also found that at low energy, the increase of bias voltage does not increase significantly the probability of finding the transmitted wave packet. At high energy, however, the probability of finding the transmitted wave packet becomes higher with increasing the bias voltage.

Jurnal Matematika & Sains•Oct 13, 2009•0 citations
The effects of tunneling are included in a one-dimensional rate theory which utilizes the concept of an ensemble of appropriate minimum-uncertainty wave packets (coherent states). An approximate tunneling formula for such wave packets is developed for a piecewise quadratic potential representing a well followed by a barrier; it is based on an exact solution for a Gaussian wave packet moving on a parabolic barrier. A new method for the numerical solution of the time-dependent Schr\"odinger equation is presented and used to check this approximate tunneling formula. The addition of tunneling to the effect of quantum statistics gives a rate formula which approximates the classical result at high-temperature levels and approaches a constant rate determined by tunneling at very low-temperature levels.
A simulation of the dynamics of electrone wave packet tunneling through a potential barrier in a MOS (metal-oxide-semiconductor) diode was performed by solving the time-dependent Schrodinger equation using the finite difference method. The wave packet is initially located in the semiconductor layer then moves toward to the oxide layer and probably tunnels through and/or is reflected by the oxide layer. The wave packet is deformed when it reaches the oxide layer. It is found that the higher the wave packet energy, the faster the wave packet moves and the higher the probability of transmitting the wave packet for the same bias voltage. It was also found that at low energy, the increase of bias voltage does not increase significantly the probability of finding the transmitted wave packet. At high energy, however, the probability of finding the transmitted wave packet becomes higher with increasing the bias voltage.