Developments in Mathematical and Conceptual Physics: Concepts and Applications f

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This book presents concepts of theoretical physics with engineering applications. The topics are of an intense mathematical nature involving tools like probability and random processes, ordinary and partial differential equations, linear algebra and infinite-dimensional operator theory, perturbation theory, stochastic differential equations, and Riemannian geometry. These mathematical tools have been applied to study problems in mechanics, fluid dynamics, quantum mechanics and quantum field theory, nonlinear dynamical systems, general relativity, cosmology, and electrodynamics. A particularly interesting topic of research interest developed in this book is the design of quantum unitary gates of large size using the Feynman diagrammatic approach to quantum field theory. Through this book, the reader will be able to observe how basic physics can revolutionize technology and also how diverse branches of mathematical physics like large deviation theory, quantum field theory, general relativity, and electrodynamics have many common issues that provide the starting point for unifying the whole of physics, namely in the formulation of Grand Unified Theories (GUTS).

Table of Contents

Classical mechanics.- Fluid dynamics.- Electrodynamics.- General Relativity and Cosmology.- Quantum mechanics and Quantum stochastic processes.- Quantum field theory and quantum gravity.- The general theory of nonlinear systems.- Appendix: Application of large deviation theory to physical problems.

Feature

Covers a wide range of topics in mathematical physics and is a compact reference for researchers in almost all the branches of mathematical physics Serves as a reference for engineering and science graduate students for doing their undergraduate and postgraduate project work Brings together mathematicians, physicists, and engineers for discussion on common research/topics

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