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- Published Year: 1984
- Page count: 415
- File Size: 15 MB
- Language: English
- Published by: North Holland
- Visited by: 192
- Rating/Review: 4.5
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ISBN:
0444862293
9780444862297
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Solitons and instantons : an introduction to solitons and instantons in quantum field theory
4.5
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Each download or ask from book AI costs 2 points. To earn more free points, please visit the Points Guide Page and complete some valuable actions.Welcome to the world of theoretical physics as unveiled in 'Solitons and Instantons: An Introduction to Solitons and Instantons in Quantum Field Theory'. This seminal work by R Rajaraman serves as a comprehensive guide designed to acquaint you with two pivotal concepts in the realm of quantum field theory: solitons and instantons. These entities have far-reaching implications in both theoretical and applied physics, bridging areas as diverse as condensed matter physics and cosmology.
Detailed Summary of the Book
The book unfolds the intricate tapestry of solitons and instantons by first grounding the reader in the essential mathematical framework necessary for understanding these phenomena. Across its well-structured chapters, the book elucidates the principles of non-linear differential equations, topological methods in field theory, and the rich structure of gauge theories and symmetries.
Solitons, as introduced in this text, are stable, localized, non-dispersive wave solutions to certain non-linear partial differential equations. They are integral in describing phenomena in fields ranging from fluid dynamics to optical fibers. Instantons, on the other hand, are solutions to equations of motion in imaginary time, providing insights into quantum tunneling effects and non-perturbative aspects of quantum field theory.
Through detailed examples and problem sets, Rajaraman illustrates the physical significance and computational techniques used to explore these concepts, ensuring that the reader gains both intuitive understanding and practical skills. The inclusion of heuristic explanations along with rigorous derivations makes this book accessible yet challenging, catering to both novices and seasoned researchers.
Key Takeaways
- Understanding of the foundational mathematics behind solitons and instantons.
- Insight into how these structures influence modern theoretical physics and have applications in various fields.
- Ability to apply topological concepts to solve complex problems in quantum field theory.
- Proficiency in employing computational techniques for analyzing non-linear systems.
Famous Quotes from the Book
"Solitons and instantons are not just mathematical artifacts, but cornerstones of modern theoretical physics."
"In exploring the non-linear realm, one finds that the complexities of nature often resolve into symmetrical and beautiful solutions."
Why This Book Matters
This book holds a place of significance in the study of quantum field theory due to its clear exposition and comprehensive coverage of topics that are crucial for the advancement of theoretical knowledge in physics. The synthesis of mathematical rigor with physical intuition makes it a versatile resource for those seeking to delve into the subtleties of solitons and instantons.
Moreover, its approachability enables it to serve as a bridge for those transitioning from graduate-level studies to research-level understanding. The book’s emphasis on the broad implications of solitons and instantons highlights their relevance beyond quantum mechanics, underscoring their importance in multiple scientific domains, from the analysis of particle interactions to advancements in optical and electronic technologies.
In the landscape of physics literature, 'Solitons and Instantons' stands out for its ability to connect abstract theoretical concepts with concrete physical realities, making it an indispensable guide for students, educators, and researchers alike.
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