Volume 17: Pages 14-23, 2004

Vector Theory of Noncomplex Quantum Mechanics

A. S. Krausz, K. Krausz

Faculty of Engineering, University of Ottawa, Ottawa, Ontario K1N 6N5 Canada

Real vector state functions are proposed for a quantum mechanics analysis of probability density, dispersion, probability current density, conservation of mass, orthonormality, interference, and the Hamiltonian. The conclusions are equivalent to those of the usual representations and hold the promise that quantum mechanics may be described with real vector state functions instead of complex functions and the imaginary number.

Keywords: quantum theory in terms of real vector state function, probability current, orthonormality, Hamiltonian function

Received: September 18, 2002; Published online: December 15, 2008