L. S. F. Olavo
Published 1995-03-28, updated 1995-04-01Version 3
The objective of this series of three papers is to axiomatically derive quantum mechanics from classical mechanics and two other basic axioms. In this first paper, Schreodinger's equation for the density matrix is fist obtained and from it Schroedinger's equation for the wave functions is derived. The momentum and position operators acting upon the density matrix are defined and it is then demonstrated that they commute. Pauli's equation for the density matrix is also obtained. A statistical potential formally identical to the quantum potential of Bohm's hidden variable theory is introduced, and this quantum potential is reinterpreted through the formalism here proposed. It is shown that, for dispersion free {\it ensembles% }, Schroedinger's equation for the density matrix is equivalent to Newton's equations. A general non-ambiguous procedure for the construction of operators which act upon the density matrix is presented. It is also shown how these operators can be reduced to those which act upon the wave functions.
Comments: Same contents as the previously submitted paper but written in standard LaTex style. Submitted to Rev. Mod. Phys. 24 pages.
Entanglement or separability: The choice of how to factorize the algebra of a density matrix
Structure and Parametrization of Stochastic Maps of Density Matrices
Weak values in a classical theory with an epistemic restriction
