On the derivation of the Dirac Equation
Quantum Physics
2009-03-24 v1
Abstract
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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Cite
@article{arxiv.0903.3828,
title = {On the derivation of the Dirac Equation},
author = {R. Sartor},
journal= {arXiv preprint arXiv:0903.3828},
year = {2009}
}
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10 pages