Statistical Complexity

The first monograph to focus on complexity in atoms and molecules, Statistical Complexity provides a quantitative understanding of the topic. This new area of research in the field of chemical physics is fully explored here.

The understanding of electron density as the carrier of all the information of a multielectronic system is implicit in the theorems of density functional theory. Information theoretical based measures giving a quantitative understanding of statistical complexity of such systems is shaping up as a new area of research in chemical physics. This book is the first monograph of its kind covering the aspects of complexity measure in atoms and molecules.

The very first monograph featuring the concept of complexity in atoms and molecules Focuses on electron density as the carrier of all the information of a multielectronic system and how it is embedded in the theorems of density functional theory Key information for all scientists interested or involved in the study of complexity

Klappentext

I think the next century will be the century of complexity Prof. Stephen W. Hawking (DAMPT, University of Cambridge, UK), San Jose Mercury News, Morning Final Edition, January 23 (2000)

Several different measures defining complexity have been recently proposed within the scientific disciplines of physics, biology, mathematics and computer science. Such measures of complexity are generally context dependent. In chemical physics, a set of statistical complexity measures have been introduced using the information theoretical tools centering around the electron probability density of an N-electron system and its additional characteristics. The current monograph presents a detailed description of such measures of complexity. Starting with the information theoretical foundations, this monograph discusses at length their applications in the electronic structure of atoms and molecules including reactivity. The subject matter of the title is covered by the leading research scientistsin the field who present an up-to-date account of their contributions, including future projections.

Statistical Complexity: Applications in Electronic Structure is intended for practicing physical, theoretical and computational chemists, material scientists, bio physicists and mathematical physicists.

Inhalt
Atomic and Molecular Complexities: Their Physical and Chemical Interpretations.- Uncertainty relations related to the Renyi entropy.- Entropy and complexity analyses of D-dimensional quantum systems.- Analyzing the atomic shape function with information theory and complexity measures.- Statistical indicators of complexity and its applications.- Renyi and Fisher information as complexity measures.- Statistical complexity in quantum many-body systems.- Structural entropy and its applications.