Author : Ahmed Ali, Abbas
journal of kerbala university,
2009, Volume 5, Issue 4, Pages 115-122
We have studied the motion of electron in electromagnetic field using relativistic quantum mechanics to find the eigen values of energy and eigen function for electron by solving Dirac-Equation for electron in a vector potential (AZ=AX=0) and Ay=HX (the field H being along the Z-axis).
We used the second-order equation for the axially function Ф and assume that Ф is an eigen function of the operator ΣZ with eigen value σ =± 1.