Operator realizations of the q-deformed Heisenberg algebra

被引：4
|
作者：
Pan, HY [1 ]
Zhao, ZS
机构：
[1] Zhengzhou Univ, Dept Chem, Zhengzhou 450052, Peoples R China
[2] Zhengzhou Univ, Modern Phys Grp, Zhengzhou 450052, Peoples R China
来源：
PHYSICS LETTERS A | 2001年 / 282卷 / 4-5期
关键词：
D O I：
10.1016/S0375-9601(01)00053-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
It is shown that the q-deformed Heisenberg algebra with q being a phase (q = e(l theta), with theta real) can be reduced to Jannussis' Lie-deformed Heisenberg algebra, whose realizations with differential operators are given by Jannussis et al. On the other hand, difference operators satisfying the q-deformed Heisenberg algebra are well-known. In this Letter two different methods are given to show that these two realizations are really identical. On the basis of the above discussions, a possible physical interpretation of q-deformation is given. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：251 / 256
页数：6
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