Fabio Bagarello Pořadí knih (chronologicky)

Focusing on canonical commutation relations (CCRs) and their deformations, the book explores a special version relevant to PT-quantum mechanics. It delves into the mathematical implications and physical applications, including non self-adjoint Hamiltonians and innovative perspectives on position and momentum operators. Additionally, it introduces bi-coherent states for calculating path integrals and transition probabilities. Aimed at researchers and advanced students, it serves as an accessible introduction to complex topics in functional analysis and quantum mechanics.

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