Supersymmetry and Superstring Theory with Engineering Applications

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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.

Author(s): Harish Parthasarathy
Publisher: CRC Press/Manakin Press
Year: 2022

Language: English
Pages: 197
City: Boca Raton

Cover
Half Title
Title Page
Copyright Page
Preface
Table of 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