篇名 | Lie 3-Algebra in Noncommutative Quantum Mechanics |
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卷期 | 14 |
並列篇名 | 不可交換性量子力學中的三重李代數 |
作者 | 婁祥麟 、 劉士楙 |
頁次 | 019-025 |
關鍵字 | 不可交換性量子力學 、 PACS numbers: 11.10.Nx,03.65.-w 、 TSCI |
出刊日期 | 201206 |
研究在模糊球上不可交換性量子力學中的三重李代數。由Moyal-Weyl 乘積所得出的座標和動量算符,形成一三重李代數的表現。引入一磁向量位移用來討論Aharonov-Bohm效應。
The Lie 3-algebra in noncommutative quantum mechanics on the fuzzy sphere is studied.The coordinate and momentum operators derived from Moyal-Weyl product between two functions, for both position-position and momentum-momentum noncommutativity,form a realization of the Lie 3-algebra. By introducing a shift for magnetic vector potential,the Aharonov-Bohm effect on noncommutative space is discussed.