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We consider the conductance of a one-dimensional wire interrupted by a double-barrier structure allowing for a resonant level. Using the electron-electron interaction strength as a small parameter, we are able to build a non-perturbative…

介观与纳米尺度物理 · 物理学 2009-11-07 Yu. V. Nazarov , L. I. Glazman

As was shown in quant-ph/0405028, the state of a tunneling particle can be uniquely presented as a coherent superposition of two states to describe alternative sub-processes, transmission and reflection. In this paper, on the basis of the…

量子物理 · 物理学 2007-05-23 N. L. Chuprikov

The particle approach to one-dimensional potential scattering is applied to non relativistic tunnelling between two, three and four identical barriers. We demonstrate as expected that the infinite sum of particle contributions yield the…

量子物理 · 物理学 2015-05-30 Stefano De Leo , Pietro Rotelli

Transient {\it time-domain resonances} found recently in time-dependent solutions to Schr\"{o}dinger's equation are used to investigate the issue of the tunneling time in rectangular potential barriers. In general, a time frequency analysis…

量子物理 · 物理学 2016-08-16 Gastón García-Calderón , Jorge Villavicencio

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…

量子物理 · 物理学 2011-05-12 Shoju Kudaka , Shuichi Matsumoto

The Hartman effect refers to the rather paradoxical result that the time spent by a quantum mechanical particle or a photon to tunnel through an opaque potential barrier becomes independent of barrier width for long barriers. Such an…

量子物理 · 物理学 2022-10-19 Stefano Longhi

The time evolution of the buildup process inside a double-barrier system for off-resonance incidence energies is studied by considering the analytic solution of the time dependent Schr\"{o}dinger equation with cutoff plane wave initial…

量子物理 · 物理学 2009-11-06 Jorge Villavicencio , Roberto Romo

In the First Part of this paper [that was submitted for pub. in 1991 and appeared in print in Phys. Reports 214 (1992) 339] we critically review the main theoretical definitions and calculations of the sub-barrier tunnelling and reflection…

凝聚态物理 · 物理学 2007-09-17 Vladislav S. Olkhovsky , Erasmo Recami

I propose to consider photon tunneling as a space-time correlation phenomenon between the emission and absorption of a photon on the two sides of a barrier. Standard technics based on an appropriate counting rate formula may then be applied…

量子物理 · 物理学 2007-05-23 Peter Hrasko

A unified approach to the time analysis of tunnelling of nonrelativistic particles is presented, in which Time is regarded as a quantum-mechanical observable, canonically conjugated to Energy. The validity of the Hartman effect…

量子物理 · 物理学 2009-11-07 Vladislav S. Olkhovsky , Erasmo Recami , Jacek Jakiel

Transient tunneling effects in triple barrier systems are investigated by considering a time-dependent solution to the Schr\"{o}dinger equation with a cutoff wave initial condition. We derive a two-level formula for incidence energies $E$…

量子物理 · 物理学 2009-11-07 Roberto Romo , Jorge Villavicencio , Gaston Garcia-Calderon

A method of a non-stationary description of tunneling of a particle through the one-dimensional and spherically symmetric rectangular barriers on the basis of analisis of multiple internal reflections of wave packets in relation on the…

核理论 · 物理学 2009-09-29 Vladislav S. Olkhovsky , Sergei P. Maydanyuk

We analyze the tunneling of a particle through a repulsive potential resulting from an inverted harmonic oscillator in the quantum mechanical phase space described by the Wigner function. In particular, we solve the partial differential…

量子物理 · 物理学 2013-06-07 D. M. Heim , W. P. Schleich , P. M. Alsing , J. P. Dahl , S. Varro

We study the nature of tunneling phase time for various quantum mechanical structures such as networks and rings having potential barriers in their arms. We find the generic presence of Hartman effect, with superluminal velocities as a…

量子物理 · 物理学 2007-05-23 Swarnali Bandopadhyay , A. M. Jayannavar

The title of this article is misleading. The authors have investigated a resonator but not a tunneling barrier see also Refs.\cite{Winful2} The measured superluminal group velocity and discussed is that studied on a Lorentz-Lorenz…

量子物理 · 物理学 2007-10-29 G. Nimtz , A. A. Stahlhofen

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…

量子物理 · 物理学 2019-08-06 Mohammad Hasan , Bhabani Prasad Mandal

In this work we study the behaviour of Wigner phase delay time for tunneling in the reflection mode. Our system consists of a circular loop connected to a single wire of semi-infinite length in the presence of Aharonov-Bohm flux. We…

量子物理 · 物理学 2007-05-23 Swarnali Bandopadhyay , A. M. Jayannavar

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…

量子物理 · 物理学 2017-04-24 Babur M. Mirza

Quantum tunneling across double potential barriers is studied. With the assumption that the real space is a continuum, it is rigorously proved that large barriers of arbitrary shapes can be penetrated by low-energy particles with a…

介观与纳米尺度物理 · 物理学 2024-02-02 Yong Yang

We study the relativistic quantum mechanical problem of a Dirac particle tunneling through two successive electrostatic barriers. Our aim is to study the emergence of the so-called \emph{Generalized Hartman Effect}, an effect observed in…

量子物理 · 物理学 2011-11-10 José T. Lunardi , Luiz A. Manzoni