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Generalized Uncertainty Relations in the Non-commutative Plane
- Authors
- Chung, Won Sang
- Issue Date
- Sep-2015
- Publisher
- SPRINGER/PLENUM PUBLISHERS
- Keywords
- Noncommutative quantum mechanics; Generalized uncertainty relation
- Citation
- INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, v.54, no.9, pp 3350 - 3358
- Pages
- 9
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
- Volume
- 54
- Number
- 9
- Start Page
- 3350
- End Page
- 3358
- ISSN
- 0020-7748
1572-9575
- Abstract
- 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.
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