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, Schrödinger equation, kinetic energy, uncertainty relations and continuity equation is discussed from the point of view of 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 the most important general properties of statistical theories are correctly respected.