scholarly journals Minimal length uncertainty relations and new shape invariant models

2008 ◽  
Vol 49 (8) ◽  
pp. 082101 ◽  
Author(s):  
Donald Spector
Keyword(s):  
Minimal Length ◽  
Uncertainty Relations ◽  
Shape Invariant

scholarly journals Length in a Noncommutative Phase Space

2018 ◽  
Vol 63 (2) ◽  
pp. 102 ◽  
Author(s):  
Kh. P. Gnatenko ◽  
V. M. Tkachuk
Keyword(s):  
Phase Space ◽  
Lower Bound ◽  
Eigenvalue Problem ◽  
Minimal Length ◽  
Uncertainty Relations ◽  
Noncommutative Phase Space

We study restrictions on the length in a noncommutative phase space caused by noncommutativity. The uncertainty relations for coordinates and momenta are considered, and the lower bound of the length is found. We also consider the eigenvalue problem for the squared length operator and find the expression for the minimal length in the noncommutative phase space.

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