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This book introduces the vast subject of supersymmetry along with many specific examples of engineering applications, for example: - The design of quantum unitary gates using supersymmetric actions - Bosonic and Fermionic noise in quantum systems using the Hudson-Parthasarathy quantum stochastic calculus - Superstring theory applied to the quantum mechanics of neurons and supersymmetric quantum filtering theory which can, for example, be used to filter out the noise in a cavity resonator electromagnetic field produced by the presence electrons and positrons in a bath surrounding it - Simplified versions of super-Yang-Mills theory with gauge and gaugino fields, both transforming under the adjoint representation of the gauge group and elementary super-gravity models have also been introduced All through the book, emphasis is laid upon exploiting the supersymmetry existing in the nature of Boson-Fermion exchange in designing engineering systems like quantum computers and analyzing the performance of systems in the presence of supersymmetric quantum noise.
Harish Parthasarathy 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 variety of topics in mathematical physics, signal processing and antenna theory.
1. Supersymmetry 2. Some Aspects of Superstring Theory 3. Interaction Between Light and Matter in a Cavity of Arbitrary Shape 4. Supersymmetric Yang-Mills Theory for non-Abelian Gauge Fields 5. Supersymmetric Quantum Stochastic Filtering Theory 6. Problems and Study Projects in non-Abelian Gauge and String Theory 7. The Atiyah-Singer Index Theorem and Its Application to Anomalies in Quantum Field Theory
