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Group theory for physicists [electronic resource] / by Zhong-Qi Ma.

By: Ma, Zhongqi, 1940-.
Material type: materialTypeLabelBookPublisher: Singapore : World Scientific Publishing, 2019Edition: 2nd ed.Description: 1 online resource (xx, 635 p.).ISBN: 9789813277397; 9813277394.Subject(s): Group theory | Group theory -- Textbooks | Mathematical physics | Mathematical physics -- TextbooksGenre/Form: Electronic books.DDC classification: 512/.2 Online resources: Access to full text is restricted to subscribers.
Contents:
Preface -- Review on linear algebras -- Group and its subsets -- Theory of representations -- Permutation groups -- Three-dimensional rotation group -- Symmetry of crystals -- Lie groups and lie algebras -- Gel'fand's method and its generalization -- Unitary groups -- Real orthogonal groups -- Lorentz groups -- Symplectic groups.
Summary: This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists. Calculation methods in the context of physics are emphasized. New materials drawn from the teaching and research experience of the author are included. The generalized Gel'fand's method is presented to calculate the matrices of irreducible representations of the simple Lie algebra and its Clebsch-Gordan coefficients. This book is for graduate students and young researchers in physics, especially theoretical physics. It is also for graduate students in theoretical chemistry.
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Preface -- Review on linear algebras -- Group and its subsets -- Theory of representations -- Permutation groups -- Three-dimensional rotation group -- Symmetry of crystals -- Lie groups and lie algebras -- Gel'fand's method and its generalization -- Unitary groups -- Real orthogonal groups -- Lorentz groups -- Symplectic groups.

This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists. Calculation methods in the context of physics are emphasized. New materials drawn from the teaching and research experience of the author are included. The generalized Gel'fand's method is presented to calculate the matrices of irreducible representations of the simple Lie algebra and its Clebsch-Gordan coefficients. This book is for graduate students and young researchers in physics, especially theoretical physics. It is also for graduate students in theoretical chemistry.

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