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physics.gen-ph2012
Real Units Imaginary in Kaehler's Quantum Mechanics
Jose G. Vargas
Inspired by a similar, more general treatment by Kahler, we obtain the spin operator by pulling to the Cartesian coordinate system the azimuthal partial derivative of differential…
math.GM2012
Real Version of Calculus of Complex Variable (I): Weierstrass Point of View
Jose G. Vargas
A very small amount of Kähler algebra (i.e. Clifford algebra of differential forms) in the real plane makes x + ydxdy emerge as a factor between the differentials of the Cartesian…
math.GM2012
Real Version of Calculus of Complex Variable (II): Cauchy's Point of View
Jose G. Vargas
As was the case in a previous paper, the differential form x+ydxdy plays the role that the variable z plays in the standard calculus of complex variable. The role of holomorphic fu…