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Controversy surrounding the "tunnelling time problem" stems from the seeming inability of quantum mechanics to provide, in the usual way, a definition of the duration a particle is supposed to spend in a given region of space. For this…

Quantum Physics · Physics 2026-03-04 D. Sokolovski , A. Matzkin

The tunneling time of particle through given barrier is commonly defined in terms of "internal clocks" which effectively measure the interaction time with internal degrees of freedom of the barrier. It is known that this definition of the…

Condensed Matter · Physics 2007-05-23 Uri Peskin , Michael Galperin , Abraham Nitzan

We consider the time delay of electron detachment from a Coulomb center and two-center systems in the process of ionization. It is shown that the attosecond streaking, most usual method of time delay measure, can be formally described by…

Atomic Physics · Physics 2015-06-15 Vladislav V. Serov , Vladimir L. Derbov , Tatyana A. Sergeeva

Quantum tunnelling, a hallmark phenomenon of quantum mechanics, allows particles to pass through the classically forbidden region. It underpins fundamental processes ranging from nuclear fusion and photosynthesis to the operation of…

Quantum Physics · Physics 2025-12-23 Xiao-Wen Shang , Jian-Peng Dou , Feng Lu , Sen Lin , Hao Tang , Xian-Min Jin

We calculate the time taken by a wave packet to travel through a classically forbidden locally periodic rectangular potential in space fractional quantum mechanics (SFQM). We obtain the close form expression of tunneling time from such a…

Quantum Physics · Physics 2021-07-20 Mohammad Hasan , Bhabani Prasad Mandal

We formulate quantum tunneling as a time-of-arrival problem: we determine the detection probability for particles passing through a barrier at a detector located a distance L from the tunneling region. For this purpose, we use a…

Quantum Physics · Physics 2009-11-13 Charis Anastopoulos , Ntina Savvidou

The Larmor precession of a relativistic neutral spin-1/2 particle in a uniform constant magnetic field confined to the region of a one-dimensional arbitrary potential barrier is investigated. The spin precession serves as a clock to measure…

Quantum Physics · Physics 2009-11-07 Zhi-Jian Li , Jiu-Qing. Liang , D. H. Kobe

This paper investigates the problem of a relativistic Dirac half integer spin free particle tunneling through a rectangular quantum-mechanical barrier. If the energy difference between the barrier and the particle is positive, and the…

General Physics · Physics 2017-07-17 Luca Nanni

We propose a solid-state implementation of the Larmor clock that exploits tunnel magnetoresistance to distill information on how long itinerant spins take to traverse a barrier embedded in it. Keeping in mind that the tunnelling time…

Mesoscale and Nanoscale Physics · Physics 2022-04-20 Amal Mathew , Kerem Y Camsari , Bhaskaran Muralidharan

The extremely small probability of tunneling through an almost classical potential barrier may become not small under the action of the specially adapted non-stationary signal which selects the certain particle energy E_R. For particle…

Quantum Physics · Physics 2009-02-05 B. I. Ivlev

Quantum tunneling through a two-dimensional static barrier becomes unusual when a momentum of an electron has a tangent component with respect to a border of the prebarrier region. If the barrier is not homogeneous in the direction…

Quantum Physics · Physics 2009-11-03 B. Ivlev

The last decade has seen an intense renewed debate on tunnelling time, both from a theoretical and an experimental perspective. Here, we review recent developments and new insights in the field of strong-field tunnel ionization related to…

Atomic Physics · Physics 2019-04-26 C. Hofmann , A. S. Landsman , U. Keller

Quantum noise with exchange and tunneling is studied within time-dependent wave packets. A novel expression for the quantum noise of two identical particles injected simultaneously from opposite sides of a tunneling barrier is presented.…

Quantum Physics · Physics 2016-06-22 Enrique Colomés , Damiano Marian , Xavier Oriols

Process of quantum tunneling of particles in various physical systems can be effectively controlled even by a weak and slow varying in time electromagnetic signal if to adapt specially its shape to a particular system. During an…

Quantum Physics · Physics 2009-02-05 B. I. Ivlev

We show that it is impossible to determine the time a tunneling particle spends under the barrier. However, it is possible to determine the asymptotic time, i.e., the time the particle spends in a large area including the barrier. We…

Quantum Physics · Physics 2009-11-07 Julius Ruseckas

The average dwell time of an electron in a potential barrier formed by an external electric field and the potential of a helium atom is evaluated within a semi classical one-dimensional tunneling approach. The tunneling electron is…

Quantum Physics · Physics 2020-03-11 D. Lozano-Gómez , N. G. Kelkar

The question of how long a particle takes to pass through a potential barrier is still a controversial topic in quantum mechanics. Arguably, the main theoretical problem in obtaining estimates for measurable times is the fact that…

Quantum Physics · Physics 2018-09-19 Ricardo Ximenes , Fernando Parisio , Eduardo O. Dias

Quantum tunneling reactions play a significant role in chemistry when classical pathways are energetically forbidden, be it in gas phase reactions, surface diffusion, or liquid phase chemistry. In general, such tunneling reactions are…

Chemical Physics · Physics 2023-03-28 Robert Wild , Markus Nötzold , Malcolm Simpson , Thuy Dung Tran , Roland Wester

Based on the Dirac equation, the behavior of relativistic electrons which tunnel a potential barrier of height V0 for incoming energies between V0 and V0+m is studied by using the wave packet formalism. The choice of this incoming energy…

Quantum Physics · Physics 2015-06-15 Stefano De Leo

If matter absorbs a photon of sufficient energy it emits an electron. The question of the duration of the emission process has intrigued scientists for decades. With the advent of attosecond metrology, experiments addressing such ultrashort…

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