When looking at the spin of a particle, the Dirac Equation is used to explain the significance of the spin. Here we solve Dirac Equation using the Fourier Transform, as well as explain and define the terms of the Dirac Equation. In addition, the Dirac Hamiltonian changes in Quantum Mechanics are examined. There will be a discussion of what the alpha matrices and beta matrix are made up of. The end result is defining the Dirac Equation for a particle in an electromagnetic field and solving this equation.
Bell, Vincent P.
"Solving the Dirac Equation: Using Fourier Transform,"
McNair Scholars Research Journal: Vol. 1
, Article 3.
Available at: http://commons.erau.edu/mcnair/vol1/iss1/3