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Conditions are established for the existence of a scattering length and an effective range in the low-energy expansion of the S-wave phase-shift of a central potential in two and three dimensions. The behavior of the phase-shift as a…

数学物理 · 物理学 2009-09-15 N. N. Khuri , Andre Martin , Jean-Marc Richard , Tai Tsun Wu

Using a quantum electrodynamical approach, we derive the scattering phase matrices for polarized radiation involving forbidden line transitions and in the presence of an external magnetic field. The case of (J=0->2->0) scattering is…

天体物理学 · 物理学 2008-05-27 Yee Yee Oo , Phyu Phyu San , M. Sampoorna , K. N. Nagendra , G. Ramachandran

We relate scattering amplitudes in particle physics to maximum likelihood estimation for discrete models in algebraic statistics. The scattering potential plays the role of the log-likelihood function, and its critical points are solutions…

代数几何 · 数学 2021-12-15 Bernd Sturmfels , Simon Telen

The charge and potential distributions for insulating particles approaching a substrate with regular insulating structures are studied by particle-in-cell numerical simulations. An elongated particle and substrate with elongated structures…

等离子体物理 · 物理学 2016-11-15 W J Miloch , S V Vladimirov

We address the problem of transmission of electrons between two noninteracting leads through a region where they interact (quantum dot). We use a model of spinless electrons hopping on a one-dimensional lattice and with an interaction on a…

介观与纳米尺度物理 · 物理学 2009-11-13 Abhishek Dhar , Diptiman Sen , Dibyendu Roy

We investigate the dynamics of passive particles in a two-dimensional incompressible open flow composed of a fixed topographical point vortex and a background current with a periodic component. The tracer dynamics is found to be typically…

混沌动力学 · 物理学 2011-11-10 M. Budyansky , M. Uleysky , S. Prants

The probability distribution functions of the circulation of velocity in three-dimensional decaying isotropic turbulence are examined by the database of the numerical simulation based on the pseudospectral method. It is shown that the…

高能物理 - 理论 · 物理学 2009-10-22 Makoto Umeki

We consider an ideal parabolic quantum wire in a perpendicular magnetic field. A simple Gaussian shaped scattering potential well or hill is flashed softly on and off with its maximum at $t=0$, mimicking a temporary broadening or narrowing…

介观与纳米尺度物理 · 物理学 2008-07-29 Vidar Gudmundsson , Gunnar Thorgilsson , Chi-Shung Tang , Valeriu Moldoveanu

We describe the bound state and scattering properties of a quantum mechanical particle in a scalar $N$-prong potential. Such a study is of special interest since these situations are intermediate between one and two dimensions. The energy…

高能物理 - 理论 · 物理学 2009-10-28 A. Gangopadhyaya , A. Pagnamenta , U. Sukhatme

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

This paper is concerned with the inverse elastic scattering problem for a random potential in three dimensions. Interpreted as a distribution, the potential is assumed to be a microlocally isotropic Gaussian random field whose covariance…

偏微分方程分析 · 数学 2021-02-16 Jianliang Li , Peijun Li , Xu Wang

We discuss electron scattering in a one-dimensional delta barrier potential with either time-dependent coupling constant (classical model) or a coupling constant that is linear in a boson coordinate (quantum model). We find an exact…

介观与纳米尺度物理 · 物理学 2015-06-24 T. Brandes , J. Robinson

The Aharonov-Bohm scattering amplitude is calculated in the context of planar gravity with localized sources which also carry a magnetic flux. These sources cause space-time to develop conical singularities at their location, thus…

综合物理 · 物理学 2009-10-31 Marcos Alvarez

Einstein, Podolsky, and Rosen discussed their paradox in terms of measuring the positions or momenta of two particles. These degrees of freedom can become entangled upon scattering, but how much entanglement can be created in this process?…

量子物理 · 物理学 2025-12-23 Yimeng Wang , Christiane P. Koch

The investigation of the diffusive transport of charged particles in a turbulent magnetic field remains a subject of considerable interest. Research has most frequently concentrated on determining the diffusion coefficient in the presence…

The longitudinal components of orthogonal-circularly polarized fields carry a phase singularity that changes sign depending on the polarization handedness. The addition of orbital angular momentum adds to or cancels this singularity and…

A multi-channel scattering problem is studied from a point of view of integral equations system. The system appears while natural one-particle wave function equation of the electron under action of a potential with non-intersecting ranges…

量子物理 · 物理学 2016-09-08 Sergey Leble , Sergey Yalunin

We present the most complete scattering theory for noise in noninteracting case. The exact formula for spectral density of current fluctuations at finite frequency is presented in terms of scattering matrix for a coherent quantum conductor.…

介观与纳米尺度物理 · 物理学 2007-05-23 G. B. Lesovik

Advances in fabrication and control of quantum dots allow the realization of metastructures that may exhibit novel electrical transport phenomena. Here, we investigate the electrical current passing through one such metastructure, a system…

介观与纳米尺度物理 · 物理学 2018-09-26 Chen-Yen Lai , Massimiliano Di Ventra , Michael Scheibner , Chih-Chun Chien

We study the scattering of torsional waves through a quasi-one-dimensional cavity both, from the experimental and theoretical points of view. The experiment consists of an elastic rod with square cross section. In order to form a cavity, a…

介观与纳米尺度物理 · 物理学 2023-07-19 G. Báez , M. Cobián-Suárez , A. M. Martínez-Argüello , M. Martínez-Mares , R. A. Méndez-Sánchez
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