We present and compare two different techniques to obtain the multi-phase solutions for the Schrödinger equation in the semiclassical limit. The first is Whitham’s averaging method, which gives the modulation equations governing the evolution of multi-phase solutions. The second is the Wigner transform, a convenient tool to derive the semiclassical limit equation in the phase space—the Vlasov e...

low molecular weight organic acids are most predominant in apple juice among these components fumaric acid was not exceed more than 5 ppm. it was thought that the hplc is the best method of the determination of organic acids in the apple juice. in this study, chromatographic separation of organic acids of apple juice was obtained by preparing a sample and by applying them to acid phase for extr...

System splitting problem, also known as controlled system separation problem, is to determine the proper splitting points for splitting the entire power network into islands when island operation of system is unavoidable. By “proper” we mean that the splitting strategies should guarantee both the power balance and satisfaction to capacity constraints of transmission lines and other facilities i...

The dynamical likelihood method for analysis of high energy collider events is reformulated. The method is to reconstruct the elementary parton state from observed quantities. The basic assumption is that each of final state partons occupies a unit phase space. The parton kinematics is statistically reconstructed using (a) virtual masses of resonant partons and (b) parton kinematic quantities i...

Based on the principle that the selection of delay time and embedding dimension has no correlation in the process of phase space reconstruction, this paper puts forward a new method of identifying the embedding dimension by Cao Liangyue Theory (CAO Theory) after the delay time is identified by Mutual Information Function. By means of the numerical verification of a few typical examples of chaot...