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, 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.