文献类型：期刊文献

英文题名：Coherent states of the deformed Heisenberg-Weyl algebra in non-commutative space

作者：Yin, QJ; Zhang, JZ

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

年份：2005

卷号：613

期号：1-2

起止页码：91

外文期刊名：PHYSICS LETTERS B

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000228773900014)】；

语种：英文

摘要：In two-dimensional space a subtle point that for the case of both space-space and momentum-momentum non-commuting, different from the case of only space-space non-commuting, the deformed Heisenberg-Weyl algebra in non-commutative space is not completely equivalent to the undeformed Heisenberg-Weyl algebra in commutative space is clarified. It follows that there is no, well-defined procedure to construct the deformed position-position coherent state or the deformed momentum-momentum coherent state from the undeformed position-momentum coherent state. Identifications of the deformed position-position and deformed momentum-momentum coherent states with the lowest energy states of a cold Rydberg atom in special conditions and a free particle, respectively, are demonstrated. (c) 2005 Elsevier B.V. All rights reserved.