ISSN: 1813-0410

Author : Ahmed Ali, Abbas


Eigen value and eigen function for electron in magnetic field using relativistic quantum mechanics

Abbas Ahmed Ali

journal of kerbala university, 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.