Deformed Heisenberg algebra and minimal length
  A one-dimensional deformed Heisenberg algebra $[X,P]=if(P)$ is studied. We answer the question: For what function of deformation $f(P)$ there exists a nonzero minimal uncertainty in position (minimal length). We also find an explicit expression for the minimal length in the case of arbitrary function of deformation. 
T. Mas{\l}owski, A. Nowicki, V. M. Tkachuk
quant-ph math-ph math.MP