Lie 3-Algebra in Noncommutative Quantum Mechanics

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Title:	Lie 3-Algebra in Noncommutative Quantum Mechanics
Other Titles:	不可交換性量子力學中的三重李代數
Authors:	婁祥麟；劉士楙 Shyang-Ling Lou and Shih-Mao Liu
Contributors:	東海大學理學院
Keywords:	PACS numbers: 11.10.Nx,03.65.-w
Date:	2012-05-18
Issue Date:	2013-03-25T09:00:30Z (UTC)
Publisher:	台中市：東海大學
Abstract:	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. 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。
Relation:	東海科學第14卷, p.19-25
Appears in Collections:	[College of Science] (School Publications)Tunghai Science

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