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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

Tunneling of a particle through a potential barrier remains one of the most remarkable quantum phenomena. Owing to advances in laser technology, electric fields comparable to those electrons experience in atoms are readily generated and…

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…

Quantum Physics · Physics 2013-06-07 D. M. Heim , W. P. Schleich , P. M. Alsing , J. P. Dahl , S. Varro

We propose a method to study the tunneling process by analyzing the time-dependent ionization yield in circularly polarized laser. A numerical calculation shows that for an atom exposed to a long laser pulse, if its initial electronic state…

Atomic Physics · Physics 2016-06-08 MingHu Yuan , PeiPei Xin , TianShu Chu , HongPing Liu

Tunneling is one of the most bizarre phenomena in quantum mechanics. An attempt to understand it led to the next natural question of how long does a particle need to tunnel a barrier. The latter gave rise to several definitions such as the…

Quantum Physics · Physics 2017-11-22 N. G. Kelkar

Using a time operator, we define a tunneling time for a particle going through a barrier. This tunneling time is the average of the phase time introduced by other authors. In addition to the delay time caused by the resonances over the…

Quantum Physics · Physics 2009-05-27 Gonzalo Ordonez , Naomichi Hatano

Recent attoclock experiments using the attsecond angular streaking technique enabled the measurement of the tunneling time delay during laser induced strong field ionization. Theoretically the tunneling time delay is commonly modelled by…

Quantum Physics · Physics 2015-05-19 Enderalp Yakaboylu , Michael Klaiber , Karen Z. Hatsagortsyan

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…

Quantum Physics · Physics 2007-05-23 Peter Hrasko

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

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…

Condensed Matter · Physics 2009-11-07 Michael Galperin , Abraham Nitzan , Uri Peskin

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

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

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…

We consider the magnetic field dependence of the plasma resonance frequency in pristine and in irradiated Bi$_2$Sr$_2$CaCu$_2$O$_8$ crystals near $T_c$. At low magnetic fields we relate linear in field corrections to the plasma frequency to…

Superconductivity · Physics 2009-10-31 L. N. Bulaevskii , A. E. Koshelev , V. M. Vinokur , M. P. Maley

We propose a general expression for the probability distribution of real-valued tunneling times of a localized particle, as measured by the Salecker-Wigner-Peres quantum clock. This general expression is used to obtain the distribution of…

Quantum Physics · Physics 2018-07-06 José T. Lunardi , Luiz A. Manzoni

Tunneling is an important physical process. The observation that particles surmount a high mountain in spite of the fact that they don't have the necessary energy cannot be explained by classical physics. However, this so called tunneling…

Quantum Physics · Physics 2009-11-13 G. Nimtz , A. A. Stahlhofen

The propagation of an electromagnetic pulse in a plasma is studied for pulse durations that are comparable to the plasma period. When the carrier frequency of the incident pulse is much higher than the plasma frequency, the pulse propagates…

Optics · Physics 2009-10-30 Borge Nodland , C. J. McKinstrie

The gauge invariant electromagnetic Wigner equation is taken as the basis for a fluid-like system describing quantum plasmas, derived from the moments of the gauge invariant Wigner function. The use of the standard, gauge dependent Wigner…

Quantum Physics · Physics 2015-05-14 F. Haas , J. Zamanian , M. Marklund , G. Brodin

An electromagnetic truncated Gaussian pulse propagates through a waveguide with piecewise different dielectric constants. The waveguide contains a barrier, namely a region of a lower dielectric constant compared to the neighboring regions.…

Classical Physics · Physics 2009-10-30 Thorsten Emig

After reexamining the above barrier diffusion problem where we notice that the wave packet collision implies the existence of {\em multiple} reflected and transmitted wave packets, we analyze the way of obtaining phase times for…

High Energy Physics - Phenomenology · Physics 2010-10-27 Alex E. Bernardini
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