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Chin. Phys. B, 2008, Vol. 17(5): 1716-1719    DOI: 10.1088/1674-1056/17/5/030
THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Prev   Next  

The He--McKellar--Wilkens effect for spin-1 particles on non-commutative space

Li Kang(李康)a), Sayipjamal Dulat (沙依甫加马力 $\cdot$ 达吾来提)b), and Wang Jian-Hua(王剑华)c)*
a Department of Physics, Hangzhou Normal University, Hangzhou 310036, China; b School of Physics Science and Technology, Xinjiang University, Urumqi 830046, China; c Department of Physics, Shaanxi University of Technology, Hanzhong 723001, China
Abstract  By using star product method, the He--McKellar--Wilkens (HMW) effect for spin-one neutral particle on non-commutative (NC) space is studied. After solving the Kemmer-like equations on NC space, we obtain the topological HMW phase on NC space where the additional terms related to the space--space non-commutativity are given explicitly.
Keywords:  non-commutative quantum mechanics      non-commutative space      HMW effect  
Received:  04 September 2007      Revised:  08 October 2007      Accepted manuscript online: 
PACS:  03.65.Ta (Foundations of quantum mechanics; measurement theory)  
  03.65.Vf (Phases: geometric; dynamic or topological)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 10575026, 10465004, 10665001 and 10447005).

Cite this article: 

Li Kang(李康), Sayipjamal Dulat (沙依甫加马力 $\cdot$ 达吾来提), and Wang Jian-Hua(王剑华) The He--McKellar--Wilkens effect for spin-1 particles on non-commutative space 2008 Chin. Phys. B 17 1716

[1] Heisenberg algebra for noncommutative Landau problem
Li Kang(李康), Cao Xiao-Hua(曹小华), and Wang Dong-Yan(汪东燕). Chin. Phys. B, 2006, 15(10): 2236-2239.
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