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The problem of one-dimensional quantum wire along which a moving particle interacts with a linear array of N delta-function potentials is studied. Using a quantum waveguide approach, the transfer matrix is calculated to obtain the…

量子物理 · 物理学 2015-05-19 G. Cordourier-Maruri , R. de Coss , V. Gupta

The resonant transmission of a moving particle which interacts with an one-dimensional array of N delta-function potentials is investigated. A suitable transfer matrix formulation is used to obtain the particle transmission. We give the…

量子物理 · 物理学 2014-02-05 Guillermo Cordourier-Maruri , Virendra Gupta , Romeo de Coss

The scattering phase shift of an electron transferred through a quantum dot is studied within a model Hamiltonian, accounting for both the electron--electron interaction in the dot and a finite temperature. It is shown that, unlike in an…

凝聚态物理 · 物理学 2009-10-28 Yuval Oreg , Yuval Gefen

We introduce a new exactly solvable model in quantum mechanics that describes the propagation of particles through a potential field created by regularly spaced $\delta'$-type point interactions, which model the localized dipoles often…

谱理论 · 数学 2025-07-01 Yuriy Golovaty , Rostyslav Hryniv , Stanislav Lavrynenko

Tunneling of electrons through a barrier with complex potential is investigated. We focus on two cases, symmetric double rectangular barrier and double delta potential barrier, and give expressions for resonant transmission probability for…

量子物理 · 物理学 2017-10-25 Nikola Opacak , Vitomir Milanovic , Jelena Radovanovic

We discuss the quantum-mechanical scattering of a massless scalar field on a $\delta$-potential in a ghost-free theory and obtain analytic solutions for the scattering coefficients. Due to the non-locality of the ghost-free theory the…

高能物理 - 理论 · 物理学 2018-06-26 Jens Boos , Valeri P. Frolov , Andrei Zelnikov

We consider a quantum particle in a waveguide which consists of an infinite straight Dirichlet strip divided by a thin semitransparent barrier on a line parallel to the walls which is modeled by a $\delta$ potential. We show that if the…

介观与纳米尺度物理 · 物理学 2007-05-23 P. Exner , D. Krejcirik

We consider the physics of transport through quantum dots in the presence of two tunneling paths. The first path sees electrons hopping on and off the dot while the second path is modeled through a potential scattering-like term. To study…

介观与纳米尺度物理 · 物理学 2007-05-23 Robert M. Konik

We propose a model for energy-dependent $\delta-\delta^{\prime}$ interactions which yields scattering coefficients exhibiting full transmission for high-energy incident particles, also computing the bound solutions in one-dimension…

We show that the observed evolution of the transmission phase through multi-electron quantum dots with more than approximately ten electrons, which shows a universal (i.e., independent of N) as yet unexplained behavior, is consistent with…

介观与纳米尺度物理 · 物理学 2009-11-13 Andrea Bertoni , Guido Goldoni

For the first time we calculate the electron transmission phase through a quantum point contact (QPC). The QPC is considered in the saddle point approximation in the single-electron picture. We show that when the electron energy is close to…

介观与纳米尺度物理 · 物理学 2014-10-29 Bryce G. C. Lackenby , Oleg P. Sushkov

We discuss the scattering of a quantum particle by two independent successive point interactions in one dimension. The parameter space for two point interactions is given by $U(2)\times U(2)$, which is described by eight real parameters. We…

量子物理 · 物理学 2017-09-21 Kohkichi Konno , Tomoaki Nagasawa , Rohta Takahashi

By the blessing of our existing data communication system, we can communicate or share our information with each other in every nook and corner of the world within some few seconds but there are some limitations in our traditional data…

量子物理 · 物理学 2024-08-02 S. M. Rashadul Islam , Md Manirul Islam , Umme Salsabil

We analyse the quantum backflow effect and extend it, as a limiting constraint to its spatial extent, for scattering situations in the presence of a purely transmitting discontinuous jump-defect. Analytical and numerical comparisons are…

量子物理 · 物理学 2020-10-07 Alexandre Hefren de Vasconcelos

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…

量子物理 · 物理学 2009-10-30 M. S. Marinov , Bilha Segev

We present a new model of scattering a quantum particle on the potential step, which reconstructs the prehistory of the subensembles of transmitted and reflected particles by their final states. Unlike the conventional one this model…

量子物理 · 物理学 2013-12-06 N. L. Chuprikov

For potential barriers with scalar and vector coupling, we show that a Dirac particle could experience nearly full transmission within a wide sub-barrier energy band. Moreover, for certain potential configurations, including pseudo-spin…

量子物理 · 物理学 2015-03-13 A. D. Alhaidari , H. Bahlouli , Y. Benabderahmane , A. Jellal

We analyze the electron transmission through a ballistic quantum dot which is connected to two quantum point contacts. We demonstrate that the transmission and reflection of this structure is determined by the transfer time of the…

其他凝聚态物理 · 物理学 2007-05-23 Lev G. Mourokh , Jonathan P. Bird

Transport properties of massive Dirac particles are investigated through an oscillating barrier. The Floquet quasienergies related to the time-dependent potential appear both in transmission and reflection as sidebands around the incoming…

介观与纳米尺度物理 · 物理学 2015-03-04 Lóránt Zs. Szabó , Mihály G. Benedict , Attila Czirják , Péter Földi

Coherent electron transport through a quantum channel in the presence of a general extended scattering potential is investigated using a T-matrix Lippmann-Schwinger approach. The formalism is applied to a quantum wire with Gaussian type…

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