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We show that scattering a quantum particle on a one-dimensional potential barrier as well as scattering the electromagnetic wave on a quasi-one-dimensional layered structure (both represent scattering problems with one 'source' and two…

Quantum Physics · Physics 2017-05-15 Nikolay L. Chuprikov

The phenomenon of quantum tunneling remains a fascinating and enigmatic one, defying classical notions of particle behavior. This paper presents a novel theoretical investigation of the tunneling phenomenon, from the viewpoint of Hartman…

Quantum Physics · Physics 2025-12-17 Massimiliano Sassoli de Bianchi

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…

High Energy Physics - Theory · Physics 2014-11-18 J. -Q. Liang , H. J. W. Mueller-Kirsten , Jian-Ge Zhou , F. Zimmerschied , F. -C. Pu

In confined flows, such as river or tidal channels, arrays of turbines can convert both the kinetic and potential energy of the flow into renewable power. The power conversion and loading characteristics of an array in a confined flow is a…

Fluid Dynamics · Physics 2024-04-23 Aidan Hunt , Brian Polagye

Within the non-perturbative 1/N expansion, we discuss numerical methods for calculating multi-loop Feynman graph needed to derive physical scattering amplitudes. We apply higher order 1/N methods to the scalar sector of the standard model,…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Ghinculov , T. Binoth

A method is described for estimating effective scattering lengths via spectroscopy on a trapped pair of atoms. The method relies on the phenomena that the energy levels of two atoms in a harmonic trap are shifted by their collisional…

Quantum Physics · Physics 2009-11-11 S. Shresta , E. Tiesinga , C. J. Williams

In this work the results of a bottleneck experiment with pedestrians are presented in the form of total times, fluxes, specific fluxes, and time gaps. A main aim was to find the dependence of these values from the bottleneck width. The…

Physics and Society · Physics 2014-02-10 Tobias Kretz , Anna Grünebohm , Michael Schreckenberg

We present a transparent and analytically tractable approach to the problem of time-dependent electron transport through tunneling barriers. Using the Single-Electron Approach, we study a model system composed of a time-dependent tunneling…

Mesoscale and Nanoscale Physics · Physics 2025-07-29 Shmuel Gurvitz , Dmitri Sokolovski

We study the transmission and group delay time for fermions in graphene under a proximity exchange field scattered by double barriers. Solving the Dirac equation over five regions, we calculate transmission and reflection coefficients using…

Mesoscale and Nanoscale Physics · Physics 2025-03-06 Ahmed Jellal , Rachid El Aitouni , Pablo Díaz , David Laroze

In this review (in Italian) we critically and detaily examine various definitions existing in the literature for the tunnelling times: namely, the phase-time; the centroid-based times; the Buttiker and Landauer times; the Larmor times; the…

Condensed Matter · Physics 2010-01-31 Giuseppe Privitera , Erasmo Recami , Vladislav S. Olkhovsky

We use the Dirac continuum model to study the propagation of electronic wave packets in graphene with periodically arranged circular potential steps. The time propagation of the wave packets are calculated using the split-operator method…

Mesoscale and Nanoscale Physics · Physics 2025-06-06 M. M. Suleimanov , M. U. Nosirov , H. T. Yusupov , A. Chaves , G. R. Berdiyorov , Kh. Yu. Rakhimov

We use an one dimensional model of a square barrier embedded in an infinite potential well to demonstrate that tunneling leads to a complex behavior of the wave function and that the degree of complexity may be quantified by use of the…

Quantum Physics · Physics 2015-07-20 Ofir Flom , Asher Yahalom , Haggai Zilberberg , L. P. Horwitz , Jacob Levitan

Following our work [Phys. Rev. Lett. 125, 020401 (2020)], we discuss a semiclassical description of one-dimensional quantum tunneling through multibarrier potentials in terms of complex time. We start by defining a complex-extended…

Quantum Physics · Physics 2021-06-09 Pavel Stránský , Milan Šindelka , Pavel Cejnar

We consider the scattering of particles by an obstacle which tunnels coherently between two positions. We show that the obstacle mimics two classical scatterers at fixed positions when the kinetic energy epsilon of the incident particles is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. Schomerus , Y. Noat , J. Dalibard , C. W. J. Beenakker

The phenomenon of wavepacket diffraction in space and time is investigated numerically and analytically, for a one-dimensional array of equally spaced finite-depth wells. Theoretical predictions for the lattice at long times and at low…

Condensed Matter · Physics 2009-11-07 G. Kälbermann

We study an asymmetric simple exclusion process in a strip in the presence of a solid impenetrable barrier. We focus on the effect of the barrier on the residence time of the particles, namely, the typical time needed by the particles to…

Statistical Mechanics · Physics 2016-10-19 Emilio N. M. Cirillo , Adrian Muntean , Oleg Krehel , Rutger van Santen

How much time does a wave packet spent in tunneling a barrier? Quantum mechanical calculations result in zero time inside a barrier. In the nineties analogous tunneling experiments with microwaves were carried out confirming quantum…

Quantum Physics · Physics 2009-03-17 Guenter Nimtz

A wave packet undergoes a strong spatial and temporal dispersion while propagating through a complex medium. This wave scattering is often seen as a nightmare in wave physics whether it be for focusing, imaging or communication purposes.…

The tunneling of Gaussian wave packets has been investigated by numerically solving the one-dimensional Schr\"odinger equation. The shape of wave packets interacting with a square barrier has been monitored for various values of the barrier…

Quantum Physics · Physics 2017-09-27 H. M. Krenzlin , J. Budczies , K. W. Kehr

A numerical and experimental study of a control method aimed at channeling chaos by building barriers in phase space is performed on a paradigm for wave-particle interaction, i.e., a traveling wave tube. Control of chaotic diffusion is…