文献类型：期刊文献

英文题名：Fractional angular momentum in non-commutative spaces

作者：Zhang, JZ

机构：[1]E China Univ Sci & Technol, Inst Theoret Phys, Shanghai 200237, Peoples R China;[2]Univ Kaiserslautern, Dept Phys, D-67653 Kaiserslautern, Germany

年份：2004

卷号：584

期号：1-2

起止页码：204

外文期刊名：PHYSICS LETTERS B

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000220156900028)】；

语种：英文

摘要：In noncommutative spaces to maintain Bose-Einstein statistics for identical particles at the non-perturbation level described by deformed annihilation-creation operators when the state vector space of identical bosons is constructed by generalizing one-particle quantum mechanics it is explored that the consistent ansatz of commutation relations of phase space variables should simultaneously include space-space non-commutativity and momentum-momentum non-commutativity, and a new type of boson commutation relations at the deformed level is obtained. Consistent perturbation expansions of deformed annihilation-creation operators are obtained. The influence of the new boson commutation relations on dynamics is discussed. The non-perturbation and perturbation property of the orbital angular momentum of two-dimensional system are investigated. Its spectrum possesses fractional eigen values and fractional intervals. (C) 2004 Elsevier B.V. All rights reserved.