Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Chinese Physics Letters

He–McKellar–Wilkens Effect in Noncommutative Space

Wang Jian-hua, Kang Li B

Published Jan 1, 2007• 14 citations
Publisher

Abstract

The He–McKellar–Wilkens (HMW) effect in non-commutative (NC) space is studied. By solving the Dirac equations on NC space, we obtain topological HMW phase in NC space where the additional terms related to the space non-commutativity are given explicitly.
DOI
10.1088/0256-307x/24/1/002

Related papers

The HMW effect in Noncommutative Quantum Mechanics

Jianhua Wang, Kang Li B

The HMW effect in non-commutative quantum mechanics is studied. By solving the Dirac equations on non-commutative (NC) space and non-commutative phase space, we obtain topological HMW phase on NC space and NC phase space respectively, where the additional terms related to the space-space and momentum-momentum non-commutativity are given explicitly. PACS number(s): 02.40.Gh, 11.10.Nx, 03.65.-w 1

•Nov 26, 2012•39 citations

The He–McKellar–Wilkens effect for spin one particles in non-commutative quantum mechanics

Sayipjamal Dulat, Kang Li, Jianhua Wang

The He–McKellar–Wilkens (HMW) effect for spin one neutral particles in non-commutative quantum mechanics is studied. By solving the Kemmer-like equations on the non-commutative (NC) space and non-commutative phase space, we obtain the topological He–McKellar–Wilkens phase on the NC space and NC phase space respectively, where the additional terms related to the space–space and momentum–momentum non-commutativity are given explicitly.

arXiv:0802.1116•Journal of Physics A Mathematical and Theoretical•Jan 29, 2008•7 citations

Time-dependent He–McKellar–Wilkens effect on noncommutative space

Tao Wang, Kai Ma

In this paper, we study time-dependent He–McKellar–Wilkens (HMW) phase shift, as well as its extension on noncommutative space. We show that for adiabatic varying external magnetic field, the original HMW effect can receive a time-dependent correction. The adiabatic approximation is valid if frequency of the varying external field is smaller enough than the one by which the spinor particle takes a single round. Noncommutative corrections are studied by using Seiberg–Witten map such that the final results are gauge invariant. We find that there are two kinds of contributions, one is purely adiabatic, and the other one is a constant correction and depends on frequency of the external field.

International Journal of Modern Physics A•Jan 19, 2023•5 citations

Anandan Quantum Phase of Spin-1/2 Particles

Li Kang

By solving the Dirac function,the paper obtained the phase changes of the wave function in non-commutative space and non-commutative phase space when a neutral spin-1/2 particle with nonzero magnetic and electric dipoles moved in an external electromagnetic field,and discussed the related Aharonov-Casher effect and the He-McKellar-Wilkens effect.

Journal of Hangzhou Teachers College•Jan 1, 2011•0 citations

Effective Seiberg-Witten map and quantum phase effects for neutral spinor on noncommutative plane

Kai Ma, Jianhua Wang, Kang Li

We introduce a new approach to study the noncommutative effects on the neutral particle with anomalous magnetic or electric dipole moments on the $2+1$ noncommutative space time. The advantages of this approach are demonstrated by investigating the noncommutative corrections on the Aharonov-Casher and He-McKellar-Wilkens effects. This approach is based on reinterpreting the Aharonov-Casher and He-McKellar-Wilkens effects as consequences of an effective $U(1)$ gauge symmetry. An effective Seiberg-Witten map for this symmetry is introduced when we study the noncommutative corrections. Because Seiberg-Witten map preserves the symmetry, the noncommutative corrections can be investigated systematically. Our results indicate that the noncommutative corrections on the Aharonov-Casher and He-McKellar-Wilkens phases are strongly depend on the ratio between the noncommutative parameter $\theta$ and the cross section $A_{e/m}$ of the charged line enclosed by the trajectory of beam particle.

arXiv:1410.6363•Oct 23, 2014•2 citations

The Aharonov-Bohm Effect in Noncommutative Quantum Mechanics

Li, K, Dulat, S

The Aharonov-Bohm (AB) effect in non-commutative quantum mechanics (NCQM) is studied. First, by introducing a shift for the magnetic vector potential we give the Schr$\\ddot{o}$dinger equations in the presence of a magnetic field on NC space and NC phase space, respectively. Then by solving the Schr$\\ddot{o}$dinger equations, we obtain the Aharonov-Bohm (AB) phase on NC space and NC phase space, respectively.

•Aug 25, 2005•56 citations
In this paper, we study time-dependent He–McKellar–Wilkens (HMW) phase shift, as well as its extension on noncommutative space. We show that for adiabatic varying external magnetic field, the original HMW effect can receive a time-dependent correction. The adiabatic approximation is valid if frequency of the varying external field is smaller enough than the one by which the spinor particle takes a single round. Noncommutative corrections are studied by using Seiberg–Witten map such that the final results are gauge invariant. We find that there are two kinds of contributions, one is purely adiabatic, and the other one is a constant correction and depends on frequency of the external field.
We introduce a new approach to study the noncommutative effects on the neutral particle with anomalous magnetic or electric dipole moments on the 2+12+12+1 noncommutative space time. The advantages of this approach are demonstrated by investigating the noncommutative corrections on the Aharonov-Casher and He-McKellar-Wilkens effects. This approach is based on reinterpreting the Aharonov-Casher and He-McKellar-Wilkens effects as consequences of an effective U(1)U(1)U(1) gauge symmetry. An effective Seiberg-Witten map for this symmetry is introduced when we study the noncommutative corrections. Because Seiberg-Witten map preserves the symmetry, the noncommutative corrections can be investigated systematically. Our results indicate that the noncommutative corrections on the Aharonov-Casher and He-McKellar-Wilkens phases are strongly depend on the ratio between the noncommutative parameter θ\thetaθ and the cross section Ae/mA_{e/m}Ae/m​ of the charged line enclosed by the trajectory of beam particle.
The Aharonov-Bohm (AB) effect in non-commutative quantum mechanics (NCQM) is studied. First, by introducing a shift for the magnetic vector potential we give the Schrddoto\\ddot{o}ddotodinger equations in the presence of a magnetic field on NC space and NC phase space, respectively. Then by solving the Schrddoto\\ddot{o}ddotodinger equations, we obtain the Aharonov-Bohm (AB) phase on NC space and NC phase space, respectively.