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This book presents a comprehensive treatment of quantum theory using theoretical variables as its foundation. The work progresses from fundamental quantum mechanical principles to sophisticated applications in quantum field theory and gravity. It provides rigorous mathematical frameworks while establishing connections between theoretical physics and practical engineering applications and includes:
- Presents an advanced treatment of quantum theory across two interconnected parts
- Examines Bell experiments, quantum probability, information theory, and connections to relativity
- Extends these foundations to explore quantum field theory, gravity, and noise theory
- Bridges the gap between theoretical physics and engineering applications
- Covers topics from Yang-Mills fields, quantum gravity to neural networks and biomedical applications of quantum electrodynamics
- Addresses quantum measurement of gravitons, Hawking radiation, classical and quantum neural networks with practical examples
- Provides mathematical frameworks for understanding quantum phenomena in applied contexts
Particularly suitable for graduate students and researchers in physics, mathematics, and engineering disciplines seeking to understand quantum phenomena across theoretical and applied domains.
This title has been co-published with Manakin Press. Taylor & Francis does not sell or distribute the print edition in India, Pakistan, Nepal, Bhutan, Sri Lanka and Bangladesh.
List of contents
Preface
Part I A Version of Quantum Theory Based Upon Theoretical Variables, andSome ImplicationsChapter 1: Basic Theory
Chapter 2: The Bell Experiment
Chapter 3: Quantum Probability and Some Consequences
Chapter 4: Information and Entropy
Chapter 5: Links Towards Relativity Theory
Chapter 6: A First Discussion
Part II Some Special Aspects of Quantum Field Theory, Quantum Gravity,Quantum Noise Theory and Quantization of General DynamicalSystems with Engineering ApplicationsChapter 1: Introduction and Connections with Part One
Chapter 2: Weyl Representation, Group Actions, Quantization of Yang-Mills Fields and Gravity
Chapter 3: Quantum Noise in Field Theory, Evolution of Non-Gaussian States, Group Actions on Observables, Quantum Effective Action with
Random Currents
Chapter 4: Symmetry Breaking, Theoretical, Variables in Field Theory, New Approaches to Quantum Gravity
Chapter 5: Perturbed Quantum Newtonian Cosmology, Quantum Measurement
of Gravitons, Quantum Electrodynamics in Curved Space-time Background, Quantum Effective Action for Gravitons, QED in Biomedicine
Chapter 6: Quantum Noisy Fields, Classical and Quantum Physics and Neural Networks, Heat and Mass Transfer in General Relativity.
Chapter 7: Constrained Lagrangians and Hamiltonians, Classical and Quantum Neural Networks, Examples of Inaccessibility, Hawking Radiation, Conditioning in Quantum Mechanics
About the author
Inge S. Helland is Professor in the Department of Mathematics at the University of Oslo, Norway
Harish Parthasarathy is Professor in the Electronics and Communication Division at the Netaji Subhas University of Technology in New Delhi, India.
