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Introduction to Continuous Symmetries - From Space-Time to Quantum Mechanics (Hardcover)
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Introduction to Continuous Symmetries - From Space-Time to Quantum Mechanics (Hardcover)
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Introduction to Continuous Symmetries Powerful and practical
symmetry-based approaches to quantum phenomena 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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