The deformed uncertainty relation and the corresponding beam quality   factor
  By using the theory of deformed quantum mechanics, we study the deformed light beam theoretically. The deformed beam quality factor $M_q^2$ is given explicitly under the case of deformed light in coherent state. When the deformation parameter $q$ being a root of unity, the beam quality factor $M_q^2 \leq 1$. 
Kang Li, Dao-Mu Zhao and Shao-Min Wang