Publication at Faculty of Mathematics and Physics |
2011
Abstract
Basic mathematical apparatus of quantum mechanics like the wave function, coordinate and momentum operator, corresponding commutation relation, kinetic energy, uncertainty relations, continuity equation and equations of motion is discussed from the point of view of probability theory and mathematical statistics. It is shown that the mathematical structure of quantum mechanics can be understood as generalization of classical mechanics in which the statistical character of results of measurement is taken into account and general properties of statistical theories are correctly respected.