Quantized space described by time reversal invariant and rotationally invariant noncommutative algebra of canonical type is studied. A particle in uniform field is considered. We find exactly the energy of a particle in uniform field in the quantized space and its wavefunctions. It is shown that the motion of the particle in the field direction in time reversal invariant and rotationally invariant noncommutative space is the same as in the ordinary space (space with the ordinary commutation relations for operators of coordinates and operators of momenta). Noncommutativity of coordinates has influence only on the motion of the particle in the directions perpendicular to the field direction. Namely, space quantization has effect on the mass of the particle.

he pper studies quntized spe desried y time reversl invrint nd rottionlly invrint nonommuttive lger of nonil typeF e prtile in uniform (eld is onsideredF e (nd extly the energy of prtile in uniform (eld in the quntized spe nd its wvefuntionsF st is shown tht the motion of the prtile in the (eld diretion in time reversl invrint nd rottionlly invrint nonommuttive spe is the sme s in n ordinry spe @ spe with the ordinry ommuttion reltions for the opertors of oordintes nd the opertors of momentAF he nonommuttivity of the oordintes hs n in)uene only on the motion of the prtile in the diretions perpendiulr to the (eld diretionF xmelyD spe quntiztion hs n e'et on the mss of the prtileF Key words: quntized speD nonommuttive oordintesD time reversl symmetryD rottionl symmetryD prtile in uniform (eldF hysX httpsXGGdoiForgGIHFQHWUHGjpsFPSFPHHP I.This work may be used under the terms of the Creative Commons Attribution 4.0 International License. Further distribution of this work must maintain attribution to the author(s)