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Analytic solutions to the time-dependent Schr\"odinger equation for cutoff wave initial conditions are used to investigate the time evolution of the transmitted probability density for tunneling. For a broad range of values of the potential…

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

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 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…

量子物理 · 物理学 2022-03-10 Luca Nanni

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

The fastest tunneling response in double barrier resonant structures is investigated by considering explicit analytic solutions of the time dependent Schr\"{o}dinger equation. For cutoff initial plane waves, we find that the earliest…

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

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…

量子物理 · 物理学 2009-11-10 Vladislav S. Olkhovsky , Erasmo Recami , A. K. Zaichenko

Exact analytical solutions of the time-dependent Schr\"odinger equation with the initial condition of an incident cutoff wave are used to investigate the traversal time for tunneling. The probability density starts from a vanishing value…

量子物理 · 物理学 2007-05-23 Gaston Garcia-Calderon , Jorge Villavicencio

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…

凝聚态物理 · 物理学 2007-05-23 Uri Peskin , Michael Galperin , Abraham Nitzan

Quantum tunneling from a thin wire or a thin film through a static potential barrier in a zero magnetic field is studied. The wire or the film should satisfy a condition of transverse quantization of levels and be inhomogeneous. Depending…

量子物理 · 物理学 2008-06-11 B. Ivlev

By directly integrating the Schroedinger starting in the transmission region and working backwards through the barrier, the tunneling probability can be determined for arbitrary potential barriers. The method employs techniques familiar to…

量子物理 · 物理学 2011-01-14 Andy Rundquist

The traversal time for tunneling is a measure of the time during which the transmitted particle can be affected by interactions localized in the barrier. The Buttiker-Landauer approach, which estimates this time by imposing an internal…

凝聚态物理 · 物理学 2009-11-07 Michael Galperin , Abraham Nitzan , Uri Peskin

Effect of weak disorder on tunneling through a potential barrier is studied analytically. A diagrammatic approach based on the specific behavior of subbarrier wave functions is developed. The problem is shown to be equivalent to that of…

凝聚态物理 · 物理学 2009-10-28 V. Freilikher , M. Pustilnik , I. Yurkevich

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 phenomenon of one-dimensional non-resonant tunnelling through two successive potential barriers, separated by an intermediate free region R, by analyzing the relevant solutions to the Schroedinger equation. We find that the…

量子物理 · 物理学 2015-06-26 Vladislav S. Olkhovsky , Erasmo Recami , Giovanni Salesi

We study resonant tunnelling through double-barrier structures under an applied bias voltage, in which nonlinearities due to self-interaction of electrons in the barrier regions are included. As an approximation, we concern ourselves with…

凝聚态物理 · 物理学 2009-10-22 Enrique Diez , Francisco Dominguez-Adame , Angel Sánchez

The tunneling effect of a periodic potential with an asymmetric twin barrier per period is calculated using the instanton method. The model is derived from the Hamiltonian of a small ferromagnetic particle in an external magnetic field…

高能物理 - 理论 · 物理学 2014-11-18 J. -Q. Liang , H. J. W. Mueller-Kirsten , Jian-Ge Zhou , F. Zimmerschied , F. -C. Pu

The buildup process of the probability density inside the quantum well of a double-barrier resonant structure is studied by considering the analytic solution of the time dependent Schr\"{o}dinger equation with the initial condition of a…

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

We present a theory of tunneling and resonant transitions in one-dimensional molecular systems which is based on Green's function theory of electron sub-barrier scattering off the structural units (or functional groups) of a molecular…

其他凝聚态物理 · 物理学 2007-05-23 I. I. Oleynik , M. A. Kozhushner , V. S. Posvyanskii

The effect of inelastic scattering on quantum tunneling through a rectangular potential barrier, of length $L$, containing randomly distributed impurities, is considered. It is shown that, despite the fact that the inelastic transition…

无序系统与神经网络 · 物理学 2007-05-23 Alex Levchenko

By taking into account the full four band energy spectrum, we calculate the transmission probability and conductance of electrons across symmetric and asymmetric double potential barrier with a confined interlayer potential difference in…

介观与纳米尺度物理 · 物理学 2014-01-22 Hasan A. Alshehab , Hocine Bahlouli , Abderrahim El Mouhafid , Ahmed Jellal
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