中国物理B ›› 2008, Vol. 17 ›› Issue (5): 1716-1719.doi: 10.1088/1674-1056/17/5/030

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

李 康1, 王剑华2, 沙依甫加马力.达吾来提3   

  1. (1)Department of Physics, Hangzhou Normal University, Hangzhou 310036, China; (2)Department of Physics, Shaanxi University of Technology, Hanzhong 723001, China; (3)School of Physics Science and Technology, Xinjiang University, Urumqi 830046, China
  • 收稿日期:2007-09-04 修回日期:2007-10-08 出版日期:2008-05-20 发布日期:2008-05-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10575026, 10465004, 10665001 and 10447005).

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)*   

  1. 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
  • Received:2007-09-04 Revised:2007-10-08 Online:2008-05-20 Published:2008-05-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10575026, 10465004, 10665001 and 10447005).

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摘要： 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.

关键词: non-commutative quantum mechanics, non-commutative space, HMW effect

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.

Key words: non-commutative quantum mechanics, non-commutative space, HMW effect

中图分类号:  (Foundations of quantum mechanics; measurement theory)

  • 03.65.Ta
03.65.Vf (Phases: geometric; dynamic or topological)