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  1. The Foundations of Quantum Mechanics and the Evolution of the Cartan-Kähler Calculus.Jose G. Vargas - 2008 - Foundations of Physics 38 (7):610-647.
    In 1960–1962, E. Kähler enriched É. Cartan’s exterior calculus, making it suitable for quantum mechanics (QM) and not only classical physics. His “Kähler-Dirac” (KD) equation reproduces the fine structure of the hydrogen atom. Its positron solutions correspond to the same sign of the energy as electrons.The Cartan-Kähler view of some basic concepts of differential geometry is presented, as it explains why the components of Kähler’s tensor-valued differential forms have three series of indices. We demonstrate the power of his calculus by (...)
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