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.
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
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.
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