The book follows the Geometric Algebra formalism generalizing complex number theory. This mathematical structure provides, along with intuitively clear geometrical interpretation, much deeper description of physical phenomena superficially described by conventional quantum mechanics. Following the B. Hiley belief that unresolved problems of conventional quantum mechanics could be the result of a wrong mathematical stricture I address with my work first of all to those who are not brainwashed by N. Bohr and his adepts into thinking that the question of quantum mechanics is solved, and to young brave students not zombied-out yet with Hilbert space formalism of quantum mechanics and not being afraid to be considered as heretics, pariahs by the physicists majority. The suggested formalism demonstrates, for example, that the core of future quantum computing should not be in entanglement, as common wisdom reads. The core of quantum computing scheme should be in manipulation and transferring of wave functions as operators acting on observables.
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Alexander M. SOIGUINE received his master's degree in mathematical physics from Mathematical Physics Department of St. Petersburg (Leningrad) University. After two years he also received Ph.D. in applied mathematics (computational methods). In 1996 he came to the USA with "green card" through the INS section "Alien of Extraordinary Ability".
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