Parthasarathy harish (126 Ergebnisse)

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Third Reprint. Contents Preface 1 Basics of Vector Analysis 2 Electrostatics Coulombs Law and Gauss Law 3 Amperes Law and Magnetostatics 4 Faradays Law of Induction 5 Maxwells Equations and Electromagnetic Waves 6 Fundamentals of Quantum Mechanics Electromagnetic Field Theory is an elementary textbook Development of the subject in the book follows an order of increasing complexity It is useful for the undergraduate level students of electronics engineering as well as postgraduate level students of engineering physics wanting to take up problems in the interface of electromagnetism and quantum mechanics It discusses Gauss and Stokes theorems Gauss and Coulombs laws of electrostatics developed in both integral and differential frameworks Computation of static electric and magnetic field for various situations Greens function method for the solution of boundary value problems Problems involving computation of the EMF for conductors moving in magnetic fields Derivation of the 3D wave equations and Snells laws of reflection and refraction Schrodingers wave mechanics 368 pp.…

Sprache: Englisch
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Second Reprint. Contents Preface 1 Mechanics 2 Quantum mechanics 3 Electrodynamics 4 Random processes estimation and filtering Index The book is intended to be a reference for selected problems in Engineering Mathematics and physics covering the fields of Mechanics Fluid Dynamics Signal Processing Electromagnetic field theory and Quantum Mechanics Many of the problems introduced in this book appear in the form of a bridge between two apparently disconnected topics For example the section on mechanics contains a section on linear algebra and another section on group representation with reference to image processing The specialized techniques developed in one field very often find applications in other fields and the collection of problems in this book illustrates this interplay The book will be of equal use to mathematicians working on applied problems to physicists interested in applying tools of signal analysis to their research and to signal processing experts who are looking for applications of signal processing methods to physical problems 828 pp.…

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Soft cover. Zustand: New. This book deals with certain important problems in Classical and Quantum Information Theory Quantum Information Theory, A Selection of Matrix Inequalities, Stochastic Filtering Theory Applied to Electromagnetic Fields and Strings Wigner-distributions in Quantum Mechanics, Quantization of Classical Field Theories, Statistical Signal Processing Quantum Field Theory, Quantum Statistics, Gravity, Stochastic Fields and Information Problems in Information Theory. …

Verlag: Manakin Press, 2024
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Soft cover. Zustand: New. This book is based on three undergraduate and postgraduate courses taught by the author on Matrix theory, Probability theory and Antenna theory over the past several years. It discusses Matrix theory, Probability theory and Antenna theory with solved problems. It will be useful to undergraduate and postgraduate students of Electronics and Communications Engineering.…

Verlag: Manakin Press, 2024
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Soft cover. Zustand: New. This book deals with a variety of problems in Physics and Engineering where the large deviation principle of probability finds application. Large deviations is a branch of probability theory dealing with approximate computation of the probabilities of rare events. It contains applications of the LDP to pattern recognition problems like analysis of the performance of the EM algorithm for optimal parameter estimation in the presence of weak noise, analysis and control of non-Abelian gauge fields in the presence of noise, and quantum gravity wherein we are concerned with perturbation to the quadratic component of the Einstein-Hilbert Hamiltonian caused by higher order nonlinear terms in the position fields and their effect on the Gibbs statistics and consequently quantum probabilities of events computed using the quantum Gibbs state. The reader will also find in this book applications of LDP to quantum filtering theory as developed by Belavkin based on the celebrated Hudson-Parthasarathy quantum stochastic calculus.…

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Contents Preface 1 Signal Theory 2 Mechanics 3 Fluid Dynamics 4 Electromagnetics 5 Electromagnetic Field Theory 6 Special and General Theories of Relativity 7 Group Representations Theory 8 Statistical Mechanics 9 Functional Analysis 10 Optimal Control of Dynamical Systems IndexThis book is a sequel to the two previous books on signal analysis applications The book applies the standard tools of signal analysis like differential calculus probability theory mechanism processes partial differential equations group theory and linear algebra to a variety of problems in physics and engineering that arise in practical applications The book is a blend of theory and practices In some problems a new theoretical method is developed and in some others a well known theoretical method is applied to a new practical problem The book will be of interest to theoretical and experimental physicists engineers and applied mathematicians Research students of applied mathematics and engineering will find the book extremely useful for providing new suggestions for existing problems and also for suggesting new research problems in their fields 420 pp.…

Verlag: Manakin Press, 2018
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Soft cover. Zustand: New. 1st Edition. This book covers the entire span of quantum mechanics whose developments have taken place during the early part of the twentieth century up till the present day. We start with the Rutherford-Bohr model of the atom followed by Schrodinger's wave mechanics with its application to the solution of calculating the energy spectrum of a particle in a box, the harmonic oscillator and finally the hydrogen atom. Heisenberg's matrix mechanics and its duality with Schrodinger's wave mechanics, quantum mechanics in the interaction picture. Dirac's relativistic theory of the electron exhibiting the spin of the electron as a relativistic effect when it interacts with an external electromagnetic field. Feynman's path integral approach to non-relativistic quantum mechanics with is a marvellous intuitive interpretation as a sum over paths and how classical mechanics is obtained from its limit as Planck' constant tends to zero, methods for computing the spectra of the Dirac Hamiltonian in a radial potential, quantum field theory as developed by Feynman, Schwinger, Tomonaga and Dyson for describing the interaction between electrons, positrons, and photons via propagators using both the operator theoretic expansions and Feynman's path integral. We also introduce time independent and time dependent perturbation theory in quantum mechanics with applications to quantum gate design for quantum computers forming a major part of the research conducted by the author's research group, Quantum noise introduced into the Schrodinger and Dirac's equation based on the Hudson-Parthasarathy quantum stochastic calculus in Boson Fock space , scattering theory and wave operators with applications to quantum gate design, some aspects of second quantization like the interpretation of Boson Fock space in terms of harmonic oscillator algebras and the BCS theory of superconductivity, Wigner-Mackey-Frobenius theory of induced representations of a group with applications to Wigner's theory of particle classification, Dirac's equation in a gravitational field and Yang-Mills non-Abelian gauge theories with application to the construction of unified quantum field theories and finally, the more recent theory of super-symmetry which is a Boson-Fermion unification theory. We have discussed the statistics of Boson's, Fermions and Maxwell-Boltzmann based on entropy maximization. The book is written in problem-solution format and it would be of use to physicists and engineers interested respectively in developing unified field theories and in the design of quantum gates. The book contains several appendices which discuss mathematical aspects of quantum mechanics like linear algebra, operator theory, probability theory, and now and then some physical aspects too. One of the appendices discusses a quantum version of Shannon's noisy coding theorem for transmission of classical information by encoding it into quantum states and applying detection operators. Another appendix contains the Knill-Laflamme theorem involving the construction of recovery operators for a state transmitted over a quantum channel. These two developments form the recent advances in quantum communication theory with major contributions from Andreas Winter and A.S. Holevo.…

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Contents 1 Probability theory 2 Signal Analysis 3 Quantum Mechanics 4 Electromagnetic 5 Relativity 6 Fluid dynamics 7 Group Representations 8 Control Theory 9 Dynamical Systems 10 Quantum Stochastic Calculus 11 Statistical Mechanics 12 Antenna Theory Analysis and Synthesis 13 Quantum Field Theory 14 Statistical Signal Processing Problems in Music 15 Miscellaneous Study Project Problems 16 BE Projects 17 Objective type questions 18 Index The mathematical tools used in signal analysis involve differential and difference equations integral equations matrix algebra and calculus complex analysis and probability theory and random processes This book applies these tools to problems in various branches of physics like fluid dynamics electromagnetism and quantum theory The book will be of use to research workers in signal processing as well as to research workers in physics and applied mathematics Partial differential equations have been introduced here as an additional tool in signal analysis since they are used to describe quantum electromagnetic and fluid dynamical phenomena not to forget Einsteins equations of gravitation The book will be of use to signal processing experts who are interested in developing tools for the analysis of signals arising in real systems 712 pp.…

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Contents 1 Signal Theory 2 Linear Algebra and Group Theory 3 Quantum Mechanics 4 Electromagnetism and Relatively Theory 5 Circuit Theory 6 Mechanics 7 Fluid Dynamics 8 Probability Theory and Statistics 9 Information Theory 10 Partial Differential Equation 11 Gravitation 12 General Topology and Functional Analysis Index The mathematical tools used in signal analysis involve differential and difference equations integral equations matrix algebra and calculus complex analysis and probability theory and random processes This book applies these tools to problems in various branches of physics like fluid dynamics electromagnetism and quantum theory The book will be of use to research workers in signal processing as well as to research workers in physics and applied mathematics Partial differential equations have been introduced here as an additional tool in signal analysis since they are used to describe quantum electromagnetic and fluid dynamical phenomena not to forget Einsteins equations of gravitation The book will be of use to signal processing experts who are interested in developing tools for the analysis of signals arising in real systems 826 pp.…

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Hardcover. Zustand: New. Contents: 1. Classical robotics and quantum stochastics. 2. Electromagnetus and related partial differential equation. 3. Radon and group theoretic transforms with robotics applications. 4. Stochastic filtering and control, interacting particles. 5. Classical and quantum robotics. 6. Large deviations, classical and quantum general relativity with GPS application. 7. Quantum signal processing. This book discusses various problems in stochastic Processes, Control Theory, Electromagnetics, Classical and Quantum Field Theory and Quantum Stochastics. The problems are chosen to motivate the interested reader to learn more about these subjects from other standard sources. Stochastic Process theory is applied to the study of differential equations of mechanics subject to external noise. Some issues in general relativity like Geodesic motion, field theory in curved space time etc. are discussed via isolated problems. The more recent quantum stochastic process theory as formulated by R.L. Hudson and K. R. Parathasarathy is discussed. This provides a non commutative operator theoretic version of stochastic process theory. V.P. Belavkin's approach to quantum filtering based on non demolition measurements and Hudson Parathasarathy calculus has been discussed in detail. Quantum versions of the simple exclusion model in Markov process theory have been included. 3D Robots carring a current density interacting with an external Klein-Gordon or Electromagnetic field has been given some attention. The readers will after going through this book, be ready to carry out independent research in classical and quantum field theory and stochastic processes as applied to practical problems.…

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