On uncertainty relations in noncommutative phase space

✍ Scribed by Guo, Guangjie ;Long, Chaoyun ;Qin, Shuijie

• Book ID: 111489111
• Publisher: Walter de Gruyter GmbH
• Year: 2010
• Tongue: English
• Weight: 315 KB
• Volume: 8
• Category: Article
• ISSN: 2391-5471
• DOI: 10.2478/s11534-009-0079-8

✦ Synopsis

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 4 2 one can not construct a normalizable state by simultaneously saturating any other pairs out of four basic nontrivial uncertainty relations.