TY  - BOOK
AU  - Woit,Peter
TI  - Quantum theory groups and representations: an introduction 
SN  - 9783319878355
U1  - 530.15 
PY  - 2017///
CY  - Switzerland
PB  - Springer
KW  - Group theory
KW  - Lie groups
KW  - Mathematical physics
KW  - Quantum physics
KW  - Topological groups
KW  - Mathematical Physics
KW  - Group Theory and Generalizations
KW  - Quantum Physics
KW  - Topological Groups, Lie Groups
N2  - 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 reader's understanding of and facility in quantum-theoretical concepts and calculations
ER  -