Eigen value and eigen function for electron in magnetic field using relativistic quantum mechanics
journal of kerbala university,
Volume 5, Issue 4, Pages 115-122
AbstractWe 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.
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