Quantum theory as a relevant framework for the statement of probabilistic and many-valued logic

Based on ideas of quantum theory of open systems we propose the consistent approach to the formulation of logic of plausible propositions. To this end we associate with every plausible proposition diagonal matrix of its likelihood and examine it as density matrix of relevant quantum system. We are showing that all logical connectives between plausible propositions can be represented as special positive valued transformations of these matrices. We demonstrate also the above transformations can be realized in relevant composite quantum systems by quantum engineering methods. The approach proposed allows one not only to reproduce and generalize results of well-known logical systems (Boolean, Lukasiewicz and so on) but also to classify and analyze from unified point of view various actual problems in psychophysics and social sciences.Comment: 7 page

CHARACTERISTICS OF THE TSUNAMI WAVE REFLECTION FROM THE BEACH

ABSTRACT It is well known that reflection from the complex relief of the continental slope can significantly affect the runup of a long wave on the beach and significantly increase the destructive impact on the coast. In this paper, we consider the reflection of long waves from a plane slope and from a slope conjugated with even bottom. The problem is considered both for a monochromatic wave and for an arbitrary initial perturbation. Using the "vertical wall" and "plane slope" approximations, the reflection coefficients and the solution for the reflected wave are obtained. Numerical simulation is carried out for the case of reflection of the "Lorentz pulse" from the slope, which is conjugated with even bottom. The results obtained are in good agreement with the available results, both an analytical study of the process and numerical modeling of runup of an arbitrary initial perturbation with taking into account of reflection from the shore