Description
Book SynopsisFunctional analysis is a well-established powerful method in mathematical physics, especially those mathematical methods used in modern non-perturbative quantum field theory and statistical turbulence. This book presents a unique, modern treatment of solutions to fractional random differential equations in mathematical physics. It follows an analytic approach in applied functional analysis for functional integration in quantum physics and stochastic Langevin-turbulent partial differential equations.
Table of ContentsElementary Aspects of Potential Theory in Mathematical Physics; Scattering Theory in Non-relativistic One-Body Short-Range Quantum Mechanics: Moller Wave Operators and Asymptotic Completeness; On the Hilbert Space Integration Method for the Wave Equation and Some Applications to Wave Physics; Non-linear Diffusion and Wave Damped Propagation: Weak Solutions and Statistical Turbulence Behavior; Domains of Bosonic Functional Integrals and Some Applications to the Mathematical Physics of Path Integrals and String Theory; Basic Integral Representations in Mathematical Analysis of Euclidean Functional Integrals; Non-linear Diffusion in RD and in Hilbert Spaces, a Path Integral Study; On the Ergodic Theorem; Some Comments on Sampling of Ergodic Process, an Ergodic Theorem and Turbulent Pressure Fluctuations.
