How to construct dynamical systems obeying the first and second laws of thermodynamics: mean energy is conserved, and entropy increases with time? The book answers this question for classical probability (Part I) and quantum probability (Part II). A novel feature is the introduction of heat particles which supply thermal noise and represent the kinetic energy of molecules. When applied to chemical reactions, the theory leads to a nonlinear reaction — diffusion equations exhibiting oscillations or convergence to equilibrium.

In this book, the author presents the theory of quasifree quantum fields and argues that they could provide non-zero scattering for some particles. The free-field representation of the quantised transverse electromagnetic field is not closed in the weak*-topology. Its closure contains soliton-anti-soliton pairs as limits of two-photon states as time goes to infinity, and the overlap probability can be computed using Uhlmann's prescription. There are no free parameters: the probability is determined with no requirement to specify any coupling constant. All cases of the Shale transforms...