Generalized Uncertainty Relations in the Non-commutative Plane

被引：1
|
作者：
Chung, Won Sang [1 ,2 ]
机构：
[1] Gyeongsang Natl Univ, Dept Phys, Coll Nat Sci, Jinju 660701, South Korea
[2] Gyeongsang Natl Univ, Res Inst Nat Sci, Coll Nat Sci, Jinju 660701, South Korea
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2015年 / 54卷 / 09期
关键词：
Noncommutative quantum mechanics; Generalized uncertainty relation;
D O I：
10.1007/s10773-015-2574-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper we study two-dimensional noncommutative quantum mechanics (NCQM) with the generalized uncertainty relations . We find the new NCQM algebra from the generalized uncertainty relations. We construct a operator commuting with and discuss two possibilities; One is the case that also commutes with and another is the case that does not commute with . For both case we consider a motion of a charged particle in a magnetic field with a harmonic oscillator potential in the noncommutative plane.
引用
收藏
页码：3350 / 3358
页数：9
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