25.0 S. Dimitru - Uncertainty Relations or Correlation Relations ?

ABSTRACT:

The correlation relations (expressing the condition that the determinant of the correlation matrix be non-negative) from the classical theory of probability are transposed into nonrelativistio quantum physics. The most general form of "uncertainty relations" in which they will usually be quoted in quantum mechanics, is shown to be nothing but a less restrictive variant of the correlation relations. Hence the conventional interpretation of the "uncertainty relations" (CIUR) wants revising. Certain facts are shown to be incompatible with CIUR and consequently CIUR is proposed to be abandoned as unsatisfactory. Correlation relations (and "uncertainty relations" deriving from them) are proved to have no connection whatever with the description of quantum measuring processes. It is demonstrated how a series of problems can be solved, for which CIUR has no valid solutions to offer. (Thus there are: the problems of commutable operators, of the operators L, and 9, of time and energy, of eigenstates, of the correlation relations in nonquantum physics, of "macroscopio operators" and of many-operator correlation relations). It is proposed that measuring processes should be described as processes of transmitting information (from the system under measurement to the observer via the measuring device). The presence or absence of perturbations in the measuring process is proposed to be estimated by means of functionals depending on one hand upon "theoretical quantities" (quantities computed according to