This book describes how complex systems from a variety of fields can be modeled using quantum mechanical ideas; from biology and ecology, to sociology and decision-making. Quantum mechanics is traditionally associated with microscopic systems; however, quantum concepts have also been successfully applied to a wide range of macroscopic systems both within and outside physics. The mathematical basis of these models is covered in detail, providing a self-contained and consistent approach. This book provides unique insight into the dynamics of these macroscopic systems and opens new interdisciplinary research frontiers. The authors present an essential resource for researchers in applied mathematics or theoretical physics who are interested in applying quantum mechanics to complex systems in the social, biological or ecological sciences.

• Describes how complex systems from a variety of fields can be modeled using quantum mechanical ideas
• Provides insight into the dynamics of macroscopic systems and opens new interdisciplinary research frontiers
• Introduces quantum tools needed for the analysis of the dynamical behavior of macroscopic systems

Autorentext

Fabio Bagarello, PhD, is Professor of Mathematical Physics at the University of Palermo. His research interests include the application of quantum mechanics to macroscopic systems as well as the applications of functional analysis and operator theory to quantum mechanics. He is the author of numerous scientific papers on these topics in peer-reviewed journals in addition to some research books and several edited volumes.

Francesco Gargano, PhD, is Assistant Professor of Mathematical Physics at the University of Palermo. His research topics include operatorial methods for modeling macroscopic systems, operator theory for non-Hermitian quantum mechanics, computational fluid-dynamics, and analysis of reaction-diffusion models for biological systems. He is the author of numerous scientific papers on these topics in peer-reviewed journals. Francesco Oliveri, PhD, is Professor of Mathematical Physics at the University of Messina. His research interests include mathematical apparatus of quantum mechanics for the modelization of macroscopic systems, Lie symmetries of differential equations, thermodynamics of continuous media with nonlocal constitutive relations, and computer algebra. He is the author of numerous scientific papers on these topics in peer-reviewed journals and editor of some volumes.