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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 study the phase time for various quantum mechanical networks having potential barriers in its arms to find the generic presence of Hartman effect. In such systems it is possible to control the `super arrival' time in one of the arms by…

Quantum Physics · Physics 2009-11-10 Swarnali Bandopadhyay , A. M. Jayannavar

Recent studies of the tunnelling through two opaque barriers claim that the transit time is independent of the barrier widths and of the separation distance between the barriers. We observe, in contrast, that if multiple reflections are…

Quantum Physics · Physics 2007-05-23 Stefano De Leo , Pietro Rotelli

A phenomenological model for a measurement of barrier traversal times for particles is proposed. Two idealized detectors for passage and arrival provide entrance and exit times for the barrier traversal. The averaged traversal time is…

Quantum Physics · Physics 2009-10-31 J. P. Palao , J. G. Muga , S. Brouard , A. Jadczyk

We study the transmission probability of Dirac fermions in graphene scattered by a triangular double barrier potential in the presence of an external magnetic field. Our system made of two triangular potential barrier regions separated by a…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 Miloud Mekkaoui , Ahmed Jellal , Hocine Bahlouli

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…

Quantum Physics · Physics 2007-05-23 Swarnali Bandopadhyay , A. M. Jayannavar

We present a class of 2D systems which shows a counterintuitive property that contradicts a semi classical intuition: A 2D quantum particle "prefers" tunneling through a barrier rather than traveling above it. Viewing the one particle 2D…

Quantum Physics · Physics 2011-02-14 Denys I. Bondar , Wing-Ki Liu , Misha Yu. Ivanov

Motivated by a recent first principles prediction of an anisotropic cubic Dirac semi-metal in a real material Tl(TeMo)$_3$, we study the behavior of electrons tunneling through a potential barrier in such systems. To clearly investigate…

Mesoscale and Nanoscale Physics · Physics 2021-07-30 Ahmed Bouhlal , Ahmed Jellal , Hocine Bahlouli , Michael Vogl

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…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alex Levchenko

In nonrelativistic approximation one-dimensional motion of Sommerfeld sphere in the case of potential barrier is numerically investigated. The effect of classical tunneling is confirmed once more - Sommerfeld sphere overcomes the barrier…

Classical Physics · Physics 2007-05-23 Alexander A. Vlasov

This article provides a pedagogical review on Klein tunneling in graphene, i.e. the peculiar tunneling properties of two-dimensional massless Dirac electrons. We consider two simple situations in detail: a massless Dirac electron incident…

Mesoscale and Nanoscale Physics · Physics 2011-11-03 P. E. Allain , J. N. Fuchs

Mass is commonly regarded as an intrinsic property of matter, but modern physics reveals particle masses to have complex origins, such as the Higgs mechanism in high-energy physics. In crystal lattices such as graphene, relativistic Dirac…

Mesoscale and Nanoscale Physics · Physics 2024-04-16 Letian Yu , Haoran Xue , Ruixiang Guo , Eng Aik Chan , Yun Yong Terh , Cesare Soci , Baile Zhang , Y. D. Chong

We have studied the problem of coherent and sequential tunneling through a double barrier structure, assisted by light considered to be present All over the structure, i,e emitter, well and collector as in the experimental evidence. By…

Condensed Matter · Physics 2009-10-22 J. Inarrea , G. Platero , C. Tejedor

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

A curious feature of quantum tunneling known as the MacColl-Hartman effect results in the numerical observation that particles can traverse a barrier with effective superluminal speed. However, because tunneling is never certain, any…

Quantum Physics · Physics 2023-05-22 Randall S. Dumont , Tom Rivlin

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

Quantum particles interacting with potential barriers are ubiquitous in physics, and the question of how much time they spend inside classically forbidden regions has attracted interest for many decades. Recent developments of new…

Quantum Physics · Physics 2021-07-06 Seyedmohammad Yusofsani , Miroslav Kolesik

Scattering of a 2D Dirac electrons on a rectangular matrix potential barrier is considered using the formalism of spinor transfer matrices. It is shown, in particular, that in the absence of the mass term, the Klein tunneling is not…

Mesoscale and Nanoscale Physics · Physics 2016-03-22 Mikhail Erementchouk , Pinaki Mazumder , M. A. Khan , Michael N. Leuenberger

The phase shift due to the Sagnac Effect, for relativistic matter and electromagnetic beams, counter-propagating in a rotating interferometer, is deduced using two different approaches. From one hand, we show that the relativistic law of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Guido Rizzi , Matteo Luca Ruggiero

Unifying quantum mechanics and special relativity, the Dirac equation describes the behaviour of relativistic quantum particles, including imaginary-mass particles with faster-than-light speeds (e.g., tachyon). However, experimental…

Optics · Physics 2020-11-18 Wange Song , Shenglun Gao , Hanmeng Li , Chen Chen , Shengjie Wu , Shining Zhu , Tao Li