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The Aharonov Bohm scattering for spinless, isospin 1/2, particles interacting through a nonabelian Chern-Simons field is studied. Starting from the relativistic quantum field theory and using a Coulomb gauge formulation, the one loop…

High Energy Physics - Theory · Physics 2009-10-31 M. Gomes , L. C. Malacarne , A. J. da Silva

In this paper we review some aspects of the scattering Aharonov-Bohm effect and Berry's phase. Specifically, the problem of scattering of free 2d electrons on the system of an arbitrary number of parallel, infinitely thin and infinitely…

Quantum Physics · Physics 2019-05-01 Boris Ivetić

This paper addresses the scattering of a beam of charged particles by an infinitely long magnetic string in the context of the hydrodynamical approach to quantum mechanics. The scattering is qualitatively analyzed by two approaches. In the…

Dynamical Systems · Mathematics 2007-05-23 Luis Fernando Mello , Yuri Cândido Ribeiro

The non-stationary Aharonov-Bohm effect (scattering of electron in the field of a narrow solenoid with alternating current) is considered. Using the eikonal approximation, the wave function of electron, the differential and total scattering…

Atomic Physics · Physics 2024-12-23 A. I. Milstein , I. S. Terekhov

Quantum-mechanical scattering of nonrelativistic charged particles by a magnetic vortex of nonzero transverse size is considered. We show that the flux of the vortex serves as a gate for the strictly forward propagation of particles with…

Quantum Physics · Physics 2015-06-03 Yu. A. Sitenko , N. D. Vlasii

The problem of the scattering of a charge by the Aharonov-Bohm (AB) flux line is reconsidered in terms of finite width beams. It is shown that despite the left-right symmetry in the AB scattering cross-section, the charge is scattered…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Andrei Shelankov

Partial wave theory of a three dmensional scattering problem for an arbitray short range potential and a nonlocal Aharonov-Bohm magnetic flux is established. The scattering process of a ``hard shere'' like potential and the magnetic flux is…

Quantum Physics · Physics 2009-11-10 De-Hone Lin

When a fermion interacts with a global vortex or cosmic string a solenoidal "gauge" field is induced. This results in a non-trivial scattering cross-section. For scalars and non-relativistic fermions the cross-section is similar to that of…

High Energy Physics - Phenomenology · Physics 2009-10-22 A. C. Davis , A. P. Martin

The scattering of a nonrelativistic electron on a narrow solenoid of finite length is considered. In this case, the magnetic field outside the solenoid is not zero. Using the eikonal approximation, the differential and total cross sections…

Atomic Physics · Physics 2025-08-25 A. I. Milstein , I. S. Terekhov

We determine the |p|/m expansion of the two body scattering amplitude of the quantum theory of a Chern-Simons field minimally coupled to a scalar field with quartic self-interaction. It is shown that the existence of a critical value of the…

High Energy Physics - Theory · Physics 2009-10-30 M. Gomes , J. M. C. Malbouisson , A. J. da Silva

We construct a classical action for a system of $N$ point-like sources which carry SU(2) non-Abelian charges coupled to non-Abelian Chern-Simons gauge fields, and develop a quantum mechanics for them. Adopting the coherent state…

High Energy Physics - Theory · Physics 2009-10-22 Taejin Lee , Phillial Oh

We perform a perturbative analysis of the nonabelian Aharonov-Bohm problem to one loop in a field theoretic framework, and show the necessity of contact interactions for renormalizability of perturbation theory. Moreover at critical values…

High Energy Physics - Theory · Physics 2009-10-28 Dongsu Bak , Oren Bergman

Conical space emerges inevitably as an outer space of any topological defect of the vortex type. Quantum-mechanical scattering of a nonrelativistic particle by a vortex centred in conical space is considered, and effects of the transverse…

Quantum Physics · Physics 2014-11-20 Yu. A. Sitenko , N. D. Vlasii

The scattering of fermions from the abelian string arising during the phase transition $SO(10) \rightarrow SU(5) \times Z_2$ induced by the Higgs in the 126 representation is studied. Elastic cross-sections and baryon number violating…

High Energy Physics - Phenomenology · Physics 2009-10-28 Anne-Christine DAVIS , Rachel JEANNEROT

We investigate Aharonov-Bohm scattering in a theory in which charged bosonic matter fields are coupled to topologically massive electrodynamics and topologically massive gravity. We demonstrate that, at one-loop order, the transmuted spins…

High Energy Physics - Theory · Physics 2015-06-26 G. Amelino-Camelia , I. I. Kogan , R. J. Szabo

We present a unified treatment of the Aharonov--Bohm (AB) effect for two-dimensional multiband electronic systems possessing isotropic band structures. We propose an integral representation of the AB scattering state of an electron…

Mesoscale and Nanoscale Physics · Physics 2023-02-17 Róbert Németh , József Cserti

The possibility of detecting noncommutative space relics is analyzed using the Aharonov-Bohm effect. We show that, if space is noncommutative, the holonomy receives non-trivial kinematical corrections that will produce a diffraction pattern…

High Energy Physics - Theory · Physics 2009-11-07 H. Falomir , J. Gamboa , M. Loewe , F. Mendez , J. C. Rojas

We study the nonrelativistic limit of the quantum theory of a Chern-Simons field minimally coupled to a scalar field with quartic self-interaction. The renormalization of the relativistic model, in the Coulomb gauge, is discussed. We employ…

High Energy Physics - Theory · Physics 2014-11-18 M. Gomes , J. M. C. Malbouisson , A. J. da Silva

We investigate cosmological constraints on phenomenological models with discrete gauge symmetries by discussing the radiation of standard model particles from Aharonov-Bohm strings. Using intersecting D-brane models in Type IIA string…

High Energy Physics - Theory · Physics 2015-06-17 Yutaka Ookouchi

In the context of the vacuum polarization effect, we consider the backreaction of the energy-momentum tensor of a charged scalar field on the background metric of a cosmic string carrying a magnetic flux $\Phi$. Working within the…

General Relativity and Quantum Cosmology · Physics 2009-10-30 M. E. X. Guimaraes