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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Lie Algebras and Applications (Paperback, 2nd ed. 2015)
Loot Price: R2,405
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Lie Algebras and Applications (Paperback, 2nd ed. 2015)
Series: Lecture Notes in Physics, 891
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Total price: R2,425
Discovery Miles: 24 250
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This course-based primer provides an introduction to Lie algebras
and some of their applications to the spectroscopy of molecules,
atoms, nuclei and hadrons. In the first part, it concisely presents
the basic concepts of Lie algebras, their representations and their
invariants. The second part includes a description of how Lie
algebras are used in practice in the treatment of bosonic and
fermionic systems. Physical applications considered include
rotations and vibrations of molecules (vibron model), collective
modes in nuclei (interacting boson model), the atomic shell model,
the nuclear shell model, and the quark model of hadrons. One of the
key concepts in the application of Lie algebraic methods in
physics, that of spectrum generating algebras and their associated
dynamic symmetries, is also discussed. The book highlights a number
of examples that help to illustrate the abstract algebraic
definitions and includes a summary of many formulas of practical
interest, such as the eigenvalues of Casimir operators, and the
dimensions of the representations of all classical Lie algebras.
For this new edition, the text has been carefully revised and
expanded; in particular, a new chapter has been added on the
deformation and contraction of Lie algebras. From the reviews of
the first edition: "Iachello has written a pedagogical and
straightforward presentation of Lie algebras [...]. It is a great
text to accompany a course on Lie algebras and their physical
applications." (Marc de Montigny, Mathematical Reviews, Issue, 2007
i) "This book [...] written by one of the leading experts in the
field [...] will certainly be of great use for students or
specialists that want to refresh their knowledge on Lie algebras
applied to physics. [...] An excellent reference for those
interested in acquiring practical experience [...] and leaving the
embarrassing theoretical presentations aside." (Rutwig
Campoamor-Stursberg, Zentralblatt MATH, Vol. 1156, 2009)
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