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Related papers: Relativistic Aharonov-Casher Phase in Spin One

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In this work the Aharonov-Casher (AC) phase is calculated for spin one particles in a noncommutative space. The AC phase has previously been calculated from the Dirac equation in a noncommutative space using a gauge-like technique [17]. In…

High Energy Physics - Theory · Physics 2008-11-26 B. Mirza , R. Narimani , M. Zarei

By using a generalized Bopp's shift formulation, instead of star product method, we investigate the Aharonov-Casher(AC) effect for a spin-1 neutral particle in non-commutative(NC) quantum mechanics. After solving the Kemmer equations both…

Mathematical Physics · Physics 2008-11-26 Sayipjamal Dulat , Kang Li

The relation of the Aharonov-Casher (AC) effect and the force on a particle having a magnetic moment is explored. The general form of the AC Hamiltonian is derived using the Foldy-Wouthuysen transformation to the Dirac equation. Geometries…

Quantum Physics · Physics 2025-06-16 Igor Kuzmenko , Y. B. Band , Yshai Avishai

The Aharonov-Casher (AC) oscillations of spin current through a 2D ballistic ring in the presence of Rashba spin-orbit interaction and external magnetic field has been calculated using the semiclassical path integral method. For classically…

Mesoscale and Nanoscale Physics · Physics 2010-10-21 V. V. Shlyapin , A. G. Mal'shukov

Aharonov-Bohm (AB) and Aharonov-Casher (AC) effects are treated fully relativistically in 2+1 dimensions. The influences of the relevant geometric and topological phases on an entangled spin-1/2 system are studied. It is shown that for the…

Quantum Physics · Physics 2021-10-27 H. O. Cildiroglu , A. U. Yilmazer

The Aharonov-Casher (AC) effect for quantum motion of a neutral magnetized particle in the electric field is believed to be a topological effect closely related to the known Aharonov-Bohm (AB) effect. We study how it depends on the spin of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ya. I. Azimov , R. M. Ryndin

The matrix-valued Aharonov-Casher phase factor $F_{\text{AC}}$ (related to the c-number Aharonov-Casher phase $\lambda_{\text{AC}}$) plays an important role in the physics of mesoscopic systems in which spin-orbit coupling is relevant. Yet,…

Mesoscale and Nanoscale Physics · Physics 2019-07-15 Yshai Avishai , Keisuke Totsuka , Naoto Nagaosa

The Aharonov-Casher (AC) effect in non-commutative(NC) quantum mechanics is studied. Instead of using the star product method, we use a generalization of Bopp's shift method. After solving the Dirac equations both on noncommutative space…

High Energy Physics - Theory · Physics 2008-11-26 Kang Li , Jianhua Wang

We demonstrate the time reversal Aharonov-Casher (AC) effect in small arrays of mesoscopic semiconductor rings. By using an electrostatic gate we can control the spin precession rate and follow the AC phase over several interference…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Tobias Bergsten , Toshiyuki Kobayashi , Yoshiaki Sekine , Junsaku Nitta

We study the persistent current in a one dimensional Dirac ring and show that the change of spin current with respect to an applied perpendicular electric field can be used to identify the topological phases. We further study the effect of…

Mesoscale and Nanoscale Physics · Physics 2016-07-19 Sumit Ghosh , Aurelien Manchon

In this paper we give a covariant expression for Aharonov-Casher phase. This expression is a combination of the canonical electric field, Aharonov-Casher phase plus a magnetic field phase shift. We use this covariant expression for the…

High Energy Physics - Theory · Physics 2016-01-20 Douglas Singleton , Jaryd Ulbricht

We investigate quantum spin transport in a structure of conducting ring, embedded in textured electric field, with two leads, and obtain an exact solution for the problem. The spin precession induced by the Aharonov-Casher phase is studied.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Shun-Qing Shen , Zhi-Jian Li , Zhongshui Ma

We propose a mechanism of inductance operation originating from a dynamical Aharonov-Casher (AC) phase of an electron in ferromagnets. By taking into account spin-orbit coupling effects, we extend the theory of emergent inductance, which…

Mesoscale and Nanoscale Physics · Physics 2021-09-09 Yuta Yamane , Shunsuke Fukami , Jun'ichi Ieda

It is demonstrated that the Aharonov-Casher (AC) phase is a geometric phase that, in general, depends on the details of the closed path taken by a particle with a magnetic moment that is subject to an electric field. Consequently, it is not…

Quantum Physics · Physics 2025-07-11 Igor Kuzmenko , Y. B. Band , Yshai Avishai

In this letter, we report a measurement of the Aharonov-Casher (AC) geometric phase with our lithium atom interferometer. The AC phase appears when a particle carrying a magnetic dipole propagates in a transverse electric field. The first…

We study the Aharonov-Casher (AC) effect and the related He-McKellar-Wilkens (HMW) effect in 2+1 dimensions. In this restricted space these effects are the result of the interaction of the electromagnetic field tensor with the dual of a…

Quantum Physics · Physics 2016-09-08 Xiao-Gang He , B. J. McKellar

The Proca-Corben-Schwinger equations for a spin-1 particle with an anomalous magnetic moment are added by a term describing an electric dipole moment, then they are reduced to a Hamiltonian form, and finally they are brought to the…

High Energy Physics - Phenomenology · Physics 2013-04-26 Alexander J. Silenko

In this paper, we study the influence of the Aharonov-Casher effect [Y. Aharonov and A. Casher, Phys. Rev. Lett. 53, 319 (1984).] on the Dirac oscillator in three different scenarios of general relativity: the Minkowski spacetime, the…

Quantum Physics · Physics 2013-07-11 K. Bakke , C. Furtado

The Dirac field, spin 1/2 particles, is investigated in phase space. The Dirac propagator is defined. The Thermo Field Dynamics (TFD) formalism is used to introduce finite temperature. The energy-momentum tensor is calculated at finite…

High Energy Physics - Theory · Physics 2020-05-26 R. G. G. Amorim , S. C. Ulhoa , J. S da Cruz Filho , A. F. Santos , F. C. Khanna

We introduce an $SU(1,1)$ algebraic approach to study the $(2+1)$-Dirac oscillator in the presence of the Aharonov-Casher effect coupled to an external electromagnetic field in the Minkowski spacetime and the cosmic string spacetime. This…

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