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https://www.sbir.gov/sites/default/files/SBA_Success_DiracSolutions_0.pdf
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https://chem.libretexts.org/Courses/New_York_University/G25.2666%3A_Quantum_Chemistry_and_Dynamics/2%3A_General_theory_of_spin/2.7%3A_Solution_of_the_Dirac_equation_for_a_free_particle
Sep 10, 2020 · 2.7: Solution of the Dirac equation for a free particle. Using , in the coordinate basis, the Dirac equation for a free particle reads. Since the operator on the left side is a 4 4 matrix, the wave function is actually a four-component vector of functions of and : which is called a four-component Dirac spinor. In order to generate an eigenvalue ...Estimated Reading Time: 2 mins
https://physics.stackexchange.com/questions/148014/are-there-eight-or-four-independent-solutions-of-the-dirac-equation
The solutions you've listed are not the general solutions of the Dirac equation. These are only the solutions for a particle at rest. The general solutions have terms dependent on the momentum, energy and mass. The chirality eigenstates are not derived from the spinors, but rather from the gamma-5 matrix and with the help of the helicity ...
https://tutorial.math.lamar.edu/Classes/DE/DiracDeltaFunction.aspx
Jun 03, 2018 · In this section we introduce the Dirac Delta function and derive the Laplace transform of the Dirac Delta function. We work a couple of examples of solving differential equations involving Dirac Delta functions and unlike problems with Heaviside functions our only real option for this kind of differential equation is to use Laplace transforms.
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