Böcker av H. Thomas Williams

Offers a presentation of a minimal set of von Neumann postulates while introducing language and notation to facilitate subsequent discussion of quantum calculations based in finite dimensional Hilbert spaces. The chapters that follow address two-state quantum systems, entanglement of multiple two-state systems, quantum angular momentum theory and quantum approaches to statistical mechanics.

This book presents simple interdisciplinary stochastic models meant as a gentle introduction to the field of non-equilibrium statistical physics. It focuses on the analysis of two-state models with cooperative effects, which are versatile enough to be applied to many physical and social systems. The book also explores a variety of mathematical techniques to solve the master equations that govern these models: matrix theory, empty-interval methods, mean field theory, a quantum approach, and mapping onto classical Ising models. The models discussed are at the confluence of nanophysics, biology, mathematics, and the social sciences and provide a pedagogical path toward understanding the complex dynamics of particle self-assembly with the tools of statistical physics.