Information entropy studies of physical systems

Abstract

Information-theoretic measures have become a persuasive mechanism for the study and analysis of various physical systems in different fields. The diverse areas of physics and other variety of fields like mathematics, biology and medicine, cryptography etc. have been studied through theoretical entropic studies. In the present study, the information-theoretic concepts of PT-symmetric and modified Hylleraas plus exponential Rosen Morse potentials have been investigated. The characteristic features of information density and their properties are thoroughly analyzed. The information entropy of the potentials has been calculated in position and momentum space. The information entropy of the PT-symmetric and PT-breaking case of the potential is obtained and BBM inequality is verified. The existence of entropy squeezing is also analyzed in the potentials. Using the isospectral formulism, the entropy squeezing has been achieved, in position space as well as momentum space. newlineThe contemporary learning and investigations have revealed that the configurational entropy is a beneficial mechanism to study and examine the stability and preeminence of states for diversified physical systems. The importance of configurational entropy has been significantly recognized nowadays in multidisciplinary areas like non-linear dynamics, communication, astrophysics, astronomy, particle physics and material sciences. We have calculated the configurational entropy of potentials admitting soliton solutions. The isospectral Hamiltonian approach is utilized to study the variation of configurational entropy with the deformation parameter. Higher values of parameter lead to most information compressibility configurations. The configurational entropy of systems provides greater understanding related to internal structure of the systems. newline newline