Quantum Theory, Groups and Representations - An Introduction.pdf

Quantum Theory, Groups and Representations - An Introduction PDF

Peter Woit

This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field theory. The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also appealing to physics students who would like to know more about the mathematics underlying the subject. This text showcases the numerous differences between typical mathematical and physical treatments of the subject. The latter portions of the book focus on central mathematical objects that occur in the Standard Model of particle physics, underlining the deep and intimate connections between mathematics and the physical world. While an elementary physics course of some kind would be helpful to the reader, no specific background in physics is assumed, making this book accessible to students with a grounding in multivariable calculus and linear algebra. Many exercises are provided to develop the readers understanding of and facility in quantum-theoretical concepts and calculations.

Group Theory in Quantum Mechanics | ScienceDirect

6.19 MB Taille du fichier
9783319878355 ISBN
Quantum Theory, Groups and Representations - An Introduction.pdf

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Notes actuelles

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Sofya Voigtuh

Quantum Theory, Groups and Representations: An Introduction by Peter Woit. Publisher: Columbia University 2014 Number of pages: 396. Description: These notes cover the basics of quantum mechanics, from a point of view emphasizing the role of unitary representations of Lie groups in … Quantum Theory, Groups and Representations: An …

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Mattio Müllers

There is a book titled "Group theory and Physics" by Sternberg that covers the basics, including crystal groups, Lie groups, representations. I think it's a good introduction to the topic. To quote a review on Amazon (albeit the only one): "This book is an excellent introduction to the use of group theory in physics, especially in crystallography, special relativity and particle physics.

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Noels Schulzen

quantum mechanics – Chris Aldrich Posts about quantum mechanics written by Chris Aldrich. Peter Woit has just made the final draft (dated 10/25/16) of his new textbook Quantum Theory, Groups and Representations: An Introduction freely available for download from his website. It covers quantum theory with a heavy emphasis on groups and representation theory and “contains significant amounts of material not well-explained

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Jason Leghmann

Download PDF Abstract: These notes give an elementary introduction to Lie groups, Lie algebras, and their representations. Designed to be accessible to graduate students in mathematics or physics, they have a minimum of prerequisites. Topics include definitions and examples of Lie groups and Lie algebras, the relationship between Lie groups and Lie algebras via the exponential mapping, the Introduction to Quantum Group Theory - arXiv

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Jessica Kolhmann

Quantum Theory, Groups and Representations An Introduction . Authors (view affiliations) Peter Woit; Textbook. 18 Citations; 20 Mentions; 163k Downloads; Log in to check access. Buy eBook. USD 39.99 Instant download; Readable on all devices; Own it forever; Local sales tax included if applicable; Buy Physical Book Learn about institutional subscriptions. Chapters Table of contents (49 chapters