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This work examines the effect of disclinations on the scattering of quasipaticles in graphene with the presence of a topological defect. Using the tight-binding method, the electronic properties of graphene with disclination are described,…

Mesoscale and Nanoscale Physics · Physics 2025-03-12 M. J. Bueno , G. Q. Garcia , A. M. de M. Carvalho , C. Furtado

Numerical solutions for Sommerfeld model in nonrelativistic case are presented for the scattering of a spinless extended charged body in a static Coulomb field of a fixed point charge. It is shown that differential cross section for…

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

The model of a ring threaded by the Aharonov-Bohm flux underlies our understanding of a coupling between gauge potentials and matter. The typical formulation of the model is based upon a single particle picture, and should be extended when…

Quantum Gases · Physics 2023-08-29 Fabian Brauneis , Areg Ghazaryan , Hans-Werner Hammer , Artem G. Volosniev

We establish systematic consolidation of the Aharonov-Bohm and Aharonov-Casher effects including their scalar counterparts. Their formal correspondences in acquiring topological phases are revealed on the basis of the gauge symmetry in…

Quantum Physics · Physics 2009-11-10 Minchul Lee , M. Y. Choi

We show that an Aharonov-Bohm (AB) ring with asymmetric electron injection can act as a coherent detector of electron dephasing. The presence of a dephasing source in one of the two arms of a moderately-to-highly asymmetric ring changes the…

Mesoscale and Nanoscale Physics · Physics 2010-05-24 E. Strambini , L. Chirolli , V. Giovannetti , F. Taddei , R. Fazio , V. Piazza , F. Beltram

We reanalyze the question of black hole creation in high energy scattering via shockwave collisions. We find that string corrections tend to increase the scattering cross-section. We analyze corrections in a more physical setting, of…

High Energy Physics - Theory · Physics 2009-11-10 Kyungsik Kang , Horatiu Nastase

Point particle scattering at Planckian centre-of-mass (cm) energies and low fixed momentum transfers, occurring due both to electromagnetic and gravitational interactions, is surveyed, with particular emphasis on the novel features…

High Energy Physics - Theory · Physics 2007-05-23 Parthasarathi Majumdar

In this letter, we investigate the nonrelativistic quantum motion of a charged particle within a rotating frame, taking into account the Aharonov-Bohm (AB) effect and a uniform magnetic field. Our analysis entails the derivation of the…

Mesoscale and Nanoscale Physics · Physics 2025-10-28 Carlos Magno O. Pereira , Frankbelson dos S. Azevedo , Luís Fernando C. Pereira , Edilberto O. Silva

It is shown that the scattering amplitude for contact-interacting anyons does exhibit a genuine non-perturbative sector. This means that the corresponding perturbative field theoretical formulation, based on the {\it 2+1} non-relativistic…

High Energy Physics - Theory · Physics 2009-10-30 P. Giacconi , F. Maltoni , R. Soldati

We investigate noninertial effects on the scattering problem of a nonrelativistic particle in the cosmic string spacetime. By considering the nonrelativistic limit of the Dirac equation we are able to show, in the regime of small rotational…

Quantum Physics · Physics 2017-07-24 H. F. Mota , K. Bakke

The basic aspects of the Aharonov-Bohm effect can be summarized by the remark that wavefunctions become sections of a line bundle with a flat connection (that is, a "flat potential"). Passing at the level of quantum field theory in curved…

Mathematical Physics · Physics 2019-02-19 Ezio Vasselli

Aharonov-Bohm effect is a quantum mechanical phenomenon that attracted the attention of many physicists and mathematicians since the publication of the seminal paper of Aharonov and Bohm [1] in 1959. We consider different types of…

Mathematical Physics · Physics 2015-06-24 Gregory Eskin

The amplitude of the Bohm-Aharonov oscillations of a particle moving around a ring threaded by a magnetic flux and coupled to different dissipative environments is studied. The decay of the oscillations when increasing the radius of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 F. Guinea

The basic AB problem is to determine how an unshielded tube of magnetic flux $\Phi$ affects arbitrarily long-wavelength charged particles impinging on it. For spin-1 at almost all $\Phi$ the particles do not penetrate the tube, so the…

High Energy Physics - Theory · Physics 2011-07-19 M. L. Horner , Alfred S. Goldhaber

A hidden supersymmetry is revealed in the spinless Aharonov-Bohm problem. The intrinsic supersymmetric structure is shown to be intimately related with the scale symmetry. As a result, a bosonized superconformal symmetry is identified in…

High Energy Physics - Theory · Physics 2010-02-05 Francisco Correa , Horacio Falomir , Vit Jakubsky , Mikhail S. Plyushchay

Scattering theory has been suggested as a convenient method to identify topological phases of matter, in particular of disordered systems for which the Bloch band-theory approach is inapplicable. Here we examine this idea, employing as a…

Mesoscale and Nanoscale Physics · Physics 2024-03-14 Zhi-Hai Liu , O. Entin-Wohlman , A. Aharony , J. Q. You , H. Q. Xu

Using the framework of effective field theory, we present a detailed study of the Efimov effect in higher partial waves for systems of two identical particles and a third distinguishable particle. Depending on the total angular momentum…

Quantum Gases · Physics 2015-05-28 K. Helfrich , H. -W. Hammer

Some general features of the scattering of boson-based anyons with an added non-statistical interaction are discussed. Periodicity requirements of the phase shifts are derived, and used to illustrate the danger inherent in separating these…

High Energy Physics - Theory · Physics 2011-08-11 D. Caenepeel , R. MacKenzie

Classical and quantum properties of scattering of charged particles in ultrathin crystals are considered. A comparison is made of these two ways of study of scattering process. In the classical consideration we remark the appearance of…

Accelerator Physics · Physics 2015-12-16 S. N. Shul'ga , N. F. Shul'ga , S. Barsuk , I. Chaikovska , R. Chehab

Quantum mechanics in noncommutative space modifies the standard result of the Aharonov-Bohm effect for electrons and other recent quantum effects. Here we obtain the phase in noncommutative space for the Spavieri effect, a generalization of…

Quantum Physics · Physics 2018-01-17 Miguel E. Rodriguez