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Full Description
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.
Contents
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
