ID: quant-ph/0507239

Interpretation of Electron Tunneling from Uncertainty Principle

July 25, 2005

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The Best Copenhagen Tunneling Times

June 15, 1999

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M. Abolhasani, M. Golshani
Quantum Physics

Recently, people have caculated tunneling's characteristic times within Bohmian mechanics. Contrary to some characteristic times defined within the framework of the standard interpretation of quantum mechanics, these have reasonable values. Here, we introduce one of available definitions for tunnelling's characteristic times within the standard interpretation as the best definition that can be accepted for the tunneling times. We show that, due to experimental limitations, Bo...

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On the Energy-Time Uncertainty Relations: A didactical note for undergraduate students

May 31, 2005

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Gaston Giribet
Physics Education

The purpose of this brief note is that of discussing the meaning of the uncertainty relations involving energy and time in quantum mechanics by means of a reading of the classical works on the subject. This was written for undergraduate students attending to an introductory course in quantum mechanics.

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Statistical Approach to Tunneling Time in Attosecond Experiments

December 14, 2015

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Durmus Demir, Tugrul Guner
Mesoscale and Nanoscale Phys...
Atomic Physics

Tunneling, transport of particles through classically forbidden regions, is a pure quantum phenomenon. It governs numerous phenomena ranging from single-molecule electronics to donor-acceptor transition reactions. The main problem is the absence of a universal method to compute tunneling time. This problem has been attacked in various ways in the literature. Here, in the present work, we show that a statistical approach to the problem, motivated by the imaginary nature of tim...

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Time-dependent Interactions in Tunnelling Dynamics

February 14, 2022

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Luca Nanni
Quantum Physics

In this paper, the tunnelling of a particle through a potential barrier is investigated in the presence of a time-dependent perturbation. The latter is attributed to the process of the energy measurement of the scattered particle. The time-dependent Schrodinger equation of the model is exactly solved. The calculation of the probability density inside the barrier proves that the tunnelling dynamics is determined not only by the transmitted and reflected waves but also by their...

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A General Scenario of Tunneling Time in Different Energy Regimes

May 19, 2022

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Sheng-Chang Li
Quantum Physics

We theoretically study the tunneling time by investigating a wave packet of Bose-condensed atoms passing through a square barrier. We find that the tunneling time exhibits different scaling laws in different energy regimes. For negative incident energy of the wave packet, counterintuitively, the tunneling time decreases very rapidly with decreasing incident velocity. In contrast, for positive incident energy smaller than the barrier height, the tunneling time increases slowly...

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What do quantum particles do, being under potential barrier? Tunnelling time. A Virtual Experiment Standpoint

August 31, 2006

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Sergej A. Choroszavin
Mathematical Physics

Addressed, mainly: postgraduates and related readers. Subject: Given two classical mechanical 1D-moving particles (material points), with identical initial data, one of those particles given free and another given to pass through a symmetrical force-barrier, a retardation effect is observed: After the barrier has been passed over, the second particle moves with the same velocity as the free particle, but spacially is retarded with respect to the latter. If the "non-free" part...

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Understanding quantum effects from classical principles

October 26, 2000

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N. Klipa, S. D. Bosanac
Quantum Physics

Dynamics of a particle is formulated from classical principles that are amended by the uncertainty principle. Two best known quantum effects: interference and tunneling are discussed from these principles. It is shown that identical to quantum results are obtained by solving only classical equations of motion. Within the context of interference Aharonov-Bohm effect is solved as a local action of magnetic force on the particle. On the example of tunneling it is demonstrated ho...

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Tunneling as a Source for Quantum Chaos

July 17, 2015

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Ofir Flom, Asher Yahalom, Haggai Zilberberg, ... , Levitan Jacob
Quantum Physics

We use an one dimensional model of a square barrier embedded in an infinite potential well to demonstrate that tunneling leads to a complex behavior of the wave function and that the degree of complexity may be quantified by use of the spatial entropy function defined by S = -\int |\Psi(x,t)|^2 ln |\Psi(x,t)|^2 dx. There is no classical counterpart to tunneling, but a decrease in the tunneling in a short time interval may be interpreted as an approach of a quantum system to a...

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Quantum tunneling and the principle of relativity

April 26, 2001

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Elmir Dermendjiev
Nuclear Theory

It is shown that the results of Buttiker and Landauer on the traversal time of quantum tunneling through a potential barrier are in agreement with the principle of relativity. Also, they are consistent with the data on the life-time of nuclear particles that decay in flight. PACS number: 03.30, Special Relativity

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Purity dependent uncertainty relation and possible enhancement of quantum tunneling phenomenon

March 21, 2013

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V. N. Chernega
Quantum Physics

The position-momentum uncertainty relations containing the dependence of their quantum bounds on state purity parameter $\mu$ are discussed in context of possibilities to influence on the potential barrier transparency by means of decoherence processes. The behavior of barrier transparency $D$ is shown to satisfy the condition $\mu^{-1}\ln D=const$. The particular case of thermal state with temperature $T$ where the purity parameter is a function of temperature is considered....

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