Probabilistic Measurement, a New Tool to Compute the Spectral-base Equilibrium Points

In a quantum system, equilibrium points are usually definedby the equation of evolution. The analysis of this process is often doneby Schr¨dinger o equation, and by linear operators on a Hilbert space.Regardless of the fact that calculations are based on static-point metrics,due to the Chaotic behaviour, the realization of practical conditionson space and mappings will be relatively difficult. In addition, accessto constructive arguments will enable us to provide a computationalmethod. In this paper, we first define a probabilistic measurement andcombine it with probabilistic domains to obtain a probabilistic modelsuitable for quantum systems. By extending the mappings to nonlinearoperators, we examine the conditions under which stable equilibriumpoints can be reached. In the application section, using the evolutionequation, we will determine the stationary points based on their spectralproperties. Also there will be possible to generalize this method tosimultaneous measurements.