On the complex energy of system

Abstract

The dynamic system, for which the main measure (action) is casual variable, is analysing. The complex wave vector function, describing systems dynamics is built and the main differential identity, to which this function satisfies, is explored. It is introduced the complex operator, which after averaging reduces to the complex number, real part of which in the event of mechanical interpretation for the insulated system may be identifying with the mechanical action, but imaginary part can be valued with the accuracy to the scale factor, using the entropy of probability. The hypothesis is proposed for the investigated type systems, which can have not only real (physical) energy, but its complex analogue as well.