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This book covers a variety of problems, and offers solutions to some, in:
Statistical state and parameter estimation in nonlinear stochastic dynamical system in both the classical and quantum scenarios
Propagation of electromagnetic waves in a plasma as described by the Boltzmann Kinetic Transport Equation
Classical and Quantum General Relativity
It will be of use to Engineering undergraduate students interested in analysing the motion of robots subject to random perturbation, and also to research scientists working in Quantum Filtering.
List of contents
1. Master-slave Robots, Optimal Control, Quantum Mechanics and Information 2. Quantum State Estimation Robot System Estimation, Rotation Matrix Estimation, Quantum Filtering 3. Quantum Field Theory, Gravitational and Electromagnetic Waves in Cosmology, Electromagnetics and Fluids, Quantum Gate Design 4. Brownian Motion and Levy Processes, Nonlinear Filtering Plasma Waves, Quantum Stochastics and Parameter Estimation 5. Quantum Gravity, Lie Groups in Robotics, Field of Robots, Quantum Robots, Quantum Transmission Lines, Quantum Optimal Control 6. Random Feedback Control, Group Invariants and Pattern Classification, Quantum Mechanics in Levy Noise, State Observer and Trajectory Tracking 7. Radon Transform for Rotation Estimation, Interaction Picture in Quantum Mechanics, Curvature Tensor in GTR, Gauge Fields 8. Spin-field Interaction, Viscous and Thermal Effects in GTR, Channel Capacity, Filtering and Control for Robots, Discrete Time Nonlinear Stochastic Filter 9. Quantum Filtering in Robotics, Information, Feynman Path Integrals, Levy Noise, Haar Measure on Groups, Gravity and Robots, Canonical Quantum Gravity, Langevin Equation, Antenna Current in a Field Dependent Medium 10. Perturbation Theory in Cosmology, Hamiltonian of Charged Particles in Curved Space-time, Brownian Local Time, Statistics of Quantum Observables,Quantization of Stochastic Dynamical Systems, Quantum Relative Entropy Evolution for Open Systems, Quantum Gates in Levy Noise 11. Wave Equation with Random Boundary, Robots in a Fluid, Cosmology with Stochastic Perturbations, Interaction Between Graviton, Photon and Electron- Positron Fields, Evans-Hudson Flows for Quantization of Stochastic Evolutions 12. Appendix 13. References
About the author
Harish Parathasarathy received B.tech degree in Electrical Engineering from IIT Kanpur and his Phd degree in Signal Processing from IIT Delhi in 1994. He worked as a visiting fellow in the Indian Institute of Astro Physics, Bangalore from 1993 to 1994. He has worked as a faculty in the Electrical Engineering departments at IIT Bombay and IIT Kanpur. Currently, he is a professor in the Electronics and Communication Division in NSIT, Delhi. He teaches courses on Signal processing Electromagnetics, transmission lines, wave guides & antennas and electives in quantum field theory, quantum robotics & quantum stochastic processes to undergraduate and postgraduate students. He has published over 70 papers in international journals and conferences and he has also published 12 books on variey of topics in mathematical physics, signal processing and antenna theory.
Summary
This book will be of use to Engineering undergraduate students interested in analysing the motion of robots subject to random perturbation, and also to research scientists working in Quantum Filtering.
