Identifying System Eigenvalues Using DSM-Uncertainty Principle Approach

Year: 2013
Editor: Scheurmann, E.; Maurer, M.; Schmidt, D.; Lindemann, U.
Author: El Behery, R.
Series: DSM
Institution: Association of Professional Engineers Geoscientists of Alberta, Canada
Section: New Approaches Complexity Management and Matrix Methods
Page(s): 107-114
ISBN: 978-3-446-43803-3

Abstract

Mapping system processes logic dependencies, cause/effect, into probability space enabled quantifying two conjugate variables: Value/Energy and Time. Possible system’s states and their uncertainty matrix were calculated. The system value/energy spectrum was developed and used to identify the system characteristic function/Hamiltonians.

Keywords: Probabilistic method, Uncertainty principle, Matrix mechanics, Spectral analysis, Random matrices, Equilibrium