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This book developed from a course given by the author to undergraduate and postgraduate students. It takes up Matrix Theory, Antenna Theory, and Probability Theory in detail.
The first chapter on matrix theory discusses in reasonable depth the theory of Lie Algebras leading upto Cartan’s Classification Theory. It also discusses some basic elements of Functional Analysis and Operator Theory in infinite dimensional Banach and Hilbert spaces. The second chapter discusses Basic Probability Theory and the topics discussed find applications to Stochastic Filtering Theory for differential equations driven by white Gaussian noise. The third chapter is on Antenna Theory with a focus on Modern Quantum Antenna Theory.
The book will be a valuable resource to students and early career researchers in the field of Mathematical Physics.
Preface
Matrix Theory
Antenna Theory
Probability Theory
Models for the Refractive Index of Materials and Liquids
Statistics of Refractive Index and Fundamental Laws of Nature
Miscellaneous Remarks on the Content of The Previous Chapters
Applications of Large Deviation Theory to Engineering Problems
Large Deviations for Filtering in a Mixture of Boson-Fermion noise
Large Deviations for Classical and Quantum Stochastic Filtering Problems in General Relativity
Quantum Mechanics of The Eye