Particle in a uniform field in a noncommutative space with preserved time reversal and rotational symmetries

Abstract

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)