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Lecture Notes In Applied Differential Equations Of Mathematical Physics

Buch | Hardcover
340 Seiten
2008
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-281-457-9 (ISBN)
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Presents a treatment of solutions to fractional random differential equations in mathematical physics. This book follows an analytic approach in applied functional analysis for functional integration in quantum physics and stochastic Langevin-turbulent partial differential equations.
Functional 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.

Elementary 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.

Erscheint lt. Verlag 19.10.2008
Verlagsort Singapore
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik Analysis
Naturwissenschaften Physik / Astronomie
ISBN-10 981-281-457-4 / 9812814574
ISBN-13 978-981-281-457-9 / 9789812814579
Zustand Neuware
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