1201.5545 (T. Masłowski et al.)

Deformed Heisenberg algebra and minimal length    [PDF]

T. Masłowski, A. Nowicki, V. M. Tkachuk

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.

View original: http://arxiv.org/abs/1201.5545