By Giuliano Preparata

Dr. Preparata (d. 2000), a professor at an unspecified Italian collage, used to be one of the minority of theoretical physicists demanding the normal version of quantum box thought with a "more real looking" quark version of the easy debris of subject. He argues his case in 5 lecture-type essays. An appendix overviews the underlying math and formal good judgment. Lacks an index"

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They cannot belong to the same physical object, whose reality and identity should persist through the measuring process. And this is precisely the logical difficulty that the Copenhagen's view resolves by flatly rejecting the constraints of realism, and inventing the surprising notion of "wave—particle complementarity" (N. Bohr), by which the quantum mechanical particle behaves sometimes as a particle and sometimes as a wave, depending on the kind of measurements we perform upon it. In this way the answer to the question what really is the quantum particle is pushed forever outside the reach of QM, whose task is restricted to the computations of the statistical predictions of all different types of observations.

E {A, B} = -{B, A}. 8) qi for A and pj for B we find {qi,Pj} = 8ij. 12) are the Hamiltonian equations of the dynamical system, whose canonical variables are qk and pk- Unlike the Lagrange equations, second order differential equations in the variables qk, they are first order in the canonical variables. It is important to note that Eqs. 12) can be given an interesting form in terms of Poisson's brackets. 12) respectively. Thus the time-derivatives of both pk and qk are simply given by their Poisson's bracket with the Hamiltonian.

17) can be inverted. e. 19) is satisfied the Poisson's brackets for the new variables fri V dij d Pi d ij d Pj J are also left invariant. Thus the canonical transformations form that group of (non-linear) transformations of the classical PS that leaves the Hamiltonian dynamics invariant in form. M Dirac in 1927 who discovered that once the quantum kinematics was correctly described, the quantum dynamics could be directly and simply inferred from the Hamiltonian classical dynamics. e. 1) which is fully compatible with the antisymmetry of the commutator, and its vanishing in the classical limit h —> 0.