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Related papers: Tunneling times through barrier with inelasticity

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An explicit expression is obtained for the phase-time corresponding to tunneling of a (non-relativistic) particle through two rectangular barriers, both in the case of resonant and in the case of non-resonant tunneling. It is shown that the…

Quantum Physics · Physics 2009-11-10 Vladislav S. Olkhovsky , Erasmo Recami , A. K. Zaichenko

We study the temporal aspects of quantum tunneling as manifested in time-of-arrival experiments in which the detected particle tunnels through a potential barrier. In particular, we present a general method for constructing temporal…

Quantum Physics · Physics 2015-06-12 Charis Anastopoulos , Ntina Savvidou

With reference to a particle tunneling through two successive barriers, it seems to have been generally accepted that the tunneling time does not depend on the separation distance between the barriers. This phenomenon has been called the…

Quantum Physics · Physics 2011-05-12 Shoju Kudaka , Shuichi Matsumoto

The transmission of wave packets through tunneling barriers is studied in detail by the method of quantum molecular dynamics. The distribution function of the times describing the arrival of a tunneling packet in front of and behind a…

Quantum Physics · Physics 2009-10-31 Yu. Lozovik , A. Filinov

There remains the old question of how long a quantum particle takes to tunnel through a potential barrier higher than its incident kinetic energy. In this article a solution of the question is proposed on the basis of a realistic…

Quantum Physics · Physics 2007-06-26 Wang Guowen

Asymptotic time evolution of a wave packet describing a non-relativistic particle incident on a potential barrier is considered, using the Wigner phase-space distribution. The distortion of the trasmitted wave packet is determined by two…

Quantum Physics · Physics 2007-05-23 M. S. Marinov , Bilha Segev

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

Tunneling of a particle through a potential barrier is a fundamental physical process and a major thought-provoking outcome of quantum physics. It is at the basis of multiple scientific and technological advances and strongly influences…

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

The celebrated Hartman effect, according to which, the tunneling time through a opaque barrier is independent of the width of the barrier for a sufficiently thick barrier, is not well understood theoretically and experimentally till today.…

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

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…

Quantum Physics · Physics 2022-09-07 Sheng-Chang Li

We study the tunneling through an arbitrary number of finite rectangular opaque barriers and generalize earlier results by showing that the total tunneling phase time depends neither on the barrier thickness nor on the inter-barrier…

Quantum Physics · Physics 2009-11-07 S. Esposito

Tunneling, though a physical reality, is shrouded in mystery. Wave packets cannot be constructed under the barrier and group velocity cannot be defined. The tunneling particle can be observed on either sides of the barrier but its…

Mesoscale and Nanoscale Physics · Physics 2023-03-01 Kanchan Meena , P. Singha Deo

Tunnelling lies at the heart of quantum mechanics and is a fundamental process in attosecond science, molecular biology, and quantum devices. Whether tunnelling takes time and how a microscopic particle transits through a barrier have been…

Time dependence for barrier penetration is considered in the phase space. An asymptotic phase-space propagator for nonrelativistic scattering on a one - dimensional barrier is constructed. The propagator has a form universal for various…

Quantum Physics · Physics 2009-10-30 M. S. Marinov , Bilha Segev

In this paper, the interaction and transmission time of quantum density solitons waves representing particles passing through finite barrier potentials is investigated. Using the conservation of energy and of quantum density, it is first…

Quantum Physics · Physics 2017-04-24 Babur M. Mirza

We analyze the tunneling time problem via the presence time formalism. With this method we reproduce previous results for very long wavepackets and we are able to calculate the tunneling time for general wavepackets of arbitrary shape and…

Quantum Physics · Physics 2015-06-02 O. del Barco , M. Ortuño , V. Gasparian

We bring together the semiclassical approximation, matrix integrals and the theory of symmetric polynomials in order to solve a long standing problem in the field of quantum chaos: to compute transport moments when tunnel barriers are…

Mesoscale and Nanoscale Physics · Physics 2022-07-04 Lucas H. Oliveira , Pedro H. S. Bento , Marcel Novaes

We begin the Article with confusing citations in published papers on the question recently: how much time does a wave packet spend in a tunnelling barrier? ..a particle tunnelling through a barrier appears to do so in zero time 1. .. The…

Quantum Physics · Physics 2022-11-02 Guenter Nimtz , Horst Aichmann

We calculate the time taken by a wave packet to travel through a classically forbidden region of space in space fractional quantum mechanics. We obtain the close form expression of tunneling time from a rectangular barrier by stationary…

Quantum Physics · Physics 2019-08-06 Mohammad Hasan , Bhabani Prasad Mandal