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

页码：3350 / 3358

页数：9

共 50 条

[1] Generalized Uncertainty Relations in the Non-commutative Plane
Won Sang Chung
International Journal of Theoretical Physics, 2015, 54 : 3350 - 3358
[2] Two Phases of the Non-Commutative Quantum Mechanics with the Generalized Uncertainty Relations
Won Sang Chung
International Journal of Theoretical Physics, 2016, 55 : 2174 - 2181
[3] Two Phases of the Non-Commutative Quantum Mechanics with the Generalized Uncertainty Relations
Chung, Won Sang
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2016, 55 (04) : 2174 - 2181
[4] Probing Uncertainty Relations in Non-Commutative Space
Chattopadhyay, Pritam
Mitra, Ayan
Paul, Goutam
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2019, 58 (08) : 2619 - 2631
[5] Probing Uncertainty Relations in Non-Commutative Space
Pritam Chattopadhyay
Ayan Mitra
Goutam Paul
International Journal of Theoretical Physics, 2019, 58 : 2619 - 2631
[6] Minimal length uncertainty and generalized non-commutative geometry
Farmany, A.
Abbasi, S.
Darvishi, M. T.
Khani, F.
Naghipour, A.
CHAOS SOLITONS & FRACTALS, 2009, 42 (05) : 2833 - 2835
[7] Generalized Uncertainty Relation in the Non-commutative Quantum Mechanics
Chung, Won Sang
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2016, 55 (06) : 2989 - 3000
[8] Generalized Uncertainty Relation in the Non-commutative Quantum Mechanics
Won Sang Chung
International Journal of Theoretical Physics, 2016, 55 : 2989 - 3000
[9] Classical and quantum mechanics in the generalized non-commutative plane
Jing, Jian
Liu, Feng-Hua
Chen, Jian-Feng
EPL, 2008, 84 (06)
[10] Supersymmetry in the non-commutative plane
Lapointe, L
Ujino, H
Vinet, L
ANNALS OF PHYSICS, 2004, 314 (02) : 464 - 475

← 1 2 3 4 5 →