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 36 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] Generalized Uncertainty Relation in the Non-commutative Quantum Mechanics
Chung, Won Sang
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2016, 55 (06) : 2989 - 3000
[5] Generalized Uncertainty Relation in the Non-commutative Quantum Mechanics
Won Sang Chung
International Journal of Theoretical Physics, 2016, 55 : 2989 - 3000
[6] Quantum cycle in relativistic non-commutative space with generalized uncertainty principle correction
Chattopadhyay, Pritam
Pandit, Tanmoy
Mitra, Ayan
Paul, Goutam
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2021, 584
[7] Extended space duality in the non-commutative plane
Ghosh, S
PHYSICS LETTERS B, 2004, 601 (1-2) : 93 - 98
[8] Quantum interference on the non-commutative plane and the quantum-to-classical transition
Pittaway, I. B.
Scholtz, F. G.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2023, 56 (16)
[9] On the quantum dynamics of non-commutative systems
Bemfica, F. S.
Girotti, H. O.
BRAZILIAN JOURNAL OF PHYSICS, 2008, 38 (02) : 227 - 236
[10] Time-dependent harmonic oscillator in a magnetic field and an electric field on the non-commutative plane
Liang, Mai-Lin
Jiang, Yue
PHYSICS LETTERS A, 2010, 375 (01) : 1 - 5

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