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A vectorial form of the Schrödinger equation

We rewrite the time dependent Schrödinger equation by using only three dimensional vector algebra and by avoiding to introduce any complex numbers. We show that this equation leads to the same conclusions than the "complex version" concerning the hydrogen atom and the harmonic oscillator. We show also that this equation can be written as a Maxwell-Ampère equation.

preprint2014arXivOpen access
Guy Barrand
physics.gen-phquant-ph
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Guy Barrand

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