In Introduction to Continuous Symmetries, distinguished researcher Franck Laloë delivers an insightful and thought-provoking work demonstrating that the underlying equations of quantum mechanics emerge from very general symmetry considerations without the need to resort to artificial or ambiguous quantization rules. Starting at an elementary level, this book explains the computational techniques such as rotation invariance, irreducible tensor operators, the Wigner—Eckart theorem, and Lie groups that are necessary to understand nuclear physics, quantum optics, and advanced solid-state physics.

The author offers complementary resources that expand and elaborate on the fundamental concepts discussed in the book's ten accessible chapters. Extensively explained examples and discussions accompany the step-by-step physical and mathematical reasoning. Readers will also find:

A thorough introduction to symmetry transformations, including fundamental symmetries, symmetries in classical mechanics, and symmetries in quantum mechanics
Comprehensive explorations of group theory, including the general properties and linear representations of groups
Practical discussions of continuous groups and Lie groups, in particular SU(2) and SU(3)
In-depth treatments of representations induced in the state space, including discussions of Wigner's Theorem and the transformation of observables

Perfect for students of physics, mathematics, and theoretical chemistry, Introduction to Continuous Symmetries will also benefit theoretical physicists and applied mathematicians.

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Yes, you can access Introduction to Continuous Symmetries by Franck Laloë, Nicole Ostrowsky,Daniel Ostrowsky in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

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Year

Print ISBN

eBook ISBN

Edition

Topic

Physical Sciences

Subtopic

Applied Mathematics

Cover
Table of Contents
Title Page
Copyright
Preface
Introduction
Chapter I: Symmetry transformations
Chapter II: Some ideas about group theory
Chapter III: Introduction to continuous groups and Lie groups
Chapter IV: Induced representations in the state space
Chapter V: Representations of Galilean and Poincaré groups: mass, spin, and energy
Chapter VI: Construction of state spaces and wave equations
Chapter VII: Rotation group, angular momenta, spinors
Chapter VIII: Transformation of observables under rotation
Chapter IX: Internal symmetries, SU(2) and SU(3) groups
Chapter X: Symmetry breaking
Appendix: Time reversal
Bibliography
Index
End User License Agreement

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Table of contents