Real Units Imaginary in Kaehler's Quantum Mechanics
Jose G. Vargas
Abstract:Inspired by a similar, more general treatment by Kähler, we obtain the spin operator by pulling to the Cartesian coordinate system the azimuthal partial derivative of differential forms. At this point, no unit imaginary enters the picture, regardless of whether those forms are over the real or the complex field. Hence, the operator is to be viewed as a real operator. Also a view of Lie differentiation as a pullback emerges, thus avoiding conceps such as flows of vector fields for its definition.Enter Quantum M… Show more
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