Generalized Uncertainty Relation in the Non-commutative Quantum Mechanics

被引：0
|
作者：
Chung, Won Sang [1 ,2 ]
机构：
[1] Gyeongsang Natl Univ, Coll Nat Sci, Dept Phys, Jinju 660701, South Korea
[2] Gyeongsang Natl Univ, Coll Nat Sci, Res Inst Nat Sci, Jinju 660701, South Korea
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2016年 / 55卷 / 06期
基金：
新加坡国家研究基金会;
关键词：
Non-commutative quantum mechanics; Generalized uncertainty relation unitary operator; SPACE;
D O I：
10.1007/s10773-016-2931-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper the non-commutative quantum mechanics (NCQM) with the generalized uncertainty relations is discussed. Four each uncertainty relation, wave functions saturating each uncertainty relation are explicitly constructed. The unitary operators relating the non-commutative position and momentum operators to the commutative position and momentum operators are also investigated. We also discuss the uncertainty relation related to the harmonic oscillator.
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页码：2989 / 3000
页数：12
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