On uncertainty relations in noncommutative phase space

• Authors: Guangjie Guo , Chaoyun Long , Shuijie Qin
• Languages of publication: EN

Abstracts

EN

The uncertainty relations are discussed on a noncommutative plane when noncommutativity of momentum spaces is considered. It is possible to construct normalizable states by simultaneously saturating two coordinate-momentum uncertainty relations. However, under the natural condition θη ≪ 4ħ2 one can not construct a normalizable state by simultaneously saturating any other pairs out of four basic nontrivial uncertainty relations.

Keywords

EN

noncommutative phase space; uncertainty relations

Discipline

• 03.65.-w: Quantum mechanics[see also 03.67.-a Quantum information; 05.30.-d Quantum statistical mechanics; 31.30.J- Relativistic and quantum electrodynamics (QED) effects in atoms, molecules, and ions in atomic physics]
• 02.40.Gh: Noncommutative geometry

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2010
• Volume: 8
• Issue: 1
• Pages: 126-130

Dates

published

1 - 2 - 2010

online

15 - 11 - 2009

Contributors

author

Guangjie Guo

• Department of Physics, Guizhou University, Guiyang Guizhou, 550025, China

author

Chaoyun Long

author

Shuijie Qin

• Laboratory for Photoelectric Technology and Application, Guizhou University, Guiyang Guizhou, 550025, China

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Identifiers

DOI

10.2478/s11534-009-0079-8