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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

In this work, we study the resonant tunneling (RT) of electrons and H atoms in double-barrier (DB) systems. Our numerical calculations directly verify the correspondence between the resonant tunneling energies and the energy levels of…

Mesoscale and Nanoscale Physics · Physics 2024-11-14 Wei Li , Yong Yang

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

Quantum mechanical tunneling across smooth double barrier potentials modeled using Gaussian functions, is analyzed numerically and by using the WKB approximation. The transmission probability, resonances as a function of incident particle…

Quantum Physics · Physics 2021-10-26 Avik Dutt , Sayan Kar

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…

Mesoscale and Nanoscale Physics · Physics 2024-02-02 Yong Yang

We propose an analytical study of relativistic tunneling through opaque barriers. We obtain a closed formula for the phase time. This formula is in excellent agreement with the numerical simulations and corrects the standard formula…

High Energy Physics - Theory · Physics 2015-05-27 Stefano De Leo , Vinicius Leonardi

The conductance and tunnel magneto-resistance (TMR) of the double barrier magnetic tunnel junction with spin-valve sandwich (F/P/F) inserted between two insulating barrier, are theoretically investigated. It is shown, that resonant…

Condensed Matter · Physics 2009-11-10 N. Ryzhanova , G. Reiss , F. Kanjouri , A. Vedyayev

We show that an instability may be present in resonant tunneling through a quantum well in one, two and three dimensions, when the resonance lies near the emitter Fermi level. A simple semiclassical model which simulates the resonance and…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 G. Obermair , J. Inkoferer , F. Claro

Tunneling delay times of wavepackets in quantum mechanical penetration of rectangular barriers have long been known to show a perplexing independence with respect to the width of the barrier. This also has relevence to the transmission of…

Quantum Physics · Physics 2015-06-26 Arya Paul , Arnab Saha , Swarnali Bandopadhyay , Binayak Dutta-Roy

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

We present a new theoretical approach to describe the quantum behavior of a macroscopic system interacting with an external irradiation field, close to the resonant condition. Here we consider the extremely underdamped regime for a system…

Quantum Physics · Physics 2007-05-23 Yu. N. Ovchinnikov , S. Rombetto , B. Ruggiero , V. Corato , P. Silvestrini

The resonant tunneling phenomenon is well understood in quantum mechanics. We argue why a similar phenomenon must be present in quantum field theory. We then use the functional Schr\"odinger method to show how resonant tunneling through…

High Energy Physics - Theory · Physics 2009-10-08 S. -H. Henry Tye , Daniel Wohns

We consider resonant tunneling of electromagnetic waves through an optical barrier formed by dielectric layers with the frequency dispersion of their dielectric permiability. The frequency region between lower and upper polariton branches…

Condensed Matter · Physics 2009-10-30 Lev I. Deych , D. Livdan , A. A. Lisyansky

The time evolution of plane waves in the presence of a 1-dimensional square quantum barrier is considered. Comparison is made between the cases of an infinite and a cut-off (shutter) initial plane wave. The difference is relevant when the…

Quantum Physics · Physics 2009-11-13 J. Julve , F. J. de Urries

The phase time in quantum tunneling can be disentangled into a dwell time plus a term arising due to the interference of the reflected and incident waves in front of the barrier. The interference term dominates at low energies and as E -->…

High Energy Physics - Phenomenology · Physics 2010-11-05 N. G. Kelkar

In this paper we show an approach to electron transport in double barrier structures which unifies the well known sequential and resonant tunneling models in the widest range of transport regimes, from completely coherent to completely…

Condensed Matter · Physics 2009-10-28 Giuseppe Iannaccone , Bruno Pellegrini

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

This work establishes a firm relationship between classical nonlinear resonances and the phenomenon of dynamical tunneling. It is shown that the classical phase space with its hierarchy of resonance islands completely characterizes…

Chaotic Dynamics · Physics 2007-07-31 Srihari Keshavamurthy

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 stationary phase method is often employed for computing tunneling {\em phase} times of analytically-continuous {\em gaussian} or infinite-bandwidth step pulses which collide with a potential barrier. The indiscriminate utilization of…

Quantum Physics · Physics 2009-05-04 Alex E. Bernardini
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