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  1. 1 Guo G.

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On uncertainty relations in noncommutative phase space

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Guo G., Long C., Qin S.
Open Physics
|
2010
|
vol. 8
|
issue 1
126-130
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.
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