On the derivation of the Dirac Equation

Details On the derivation of the Dirac Equation On the derivation of the Dirac Equation

2009-03-23

arxiv.org/abs/0903.3828v1

Physics

Quantum Physics

10 pages

Scientific paper

We point out that the anticommutation properties of the Dirac matrices can be derived without squaring the Dirac hamiltonian, that is, without explicit reference to the Klein-Gordon equation. We only require the Dirac equation to admit two linearly independent plane wave solutions with positive energy for all momenta. The necessity of negative energies as well as the trace and determinant properties of the Dirac matrices are also a direct consequence of this simple and minimal requirement.

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