Download Lie Algebras and Applications (Lecture Notes in Physics) by Francesco Iachello PDF

By Francesco Iachello

This course-based primer presents an creation to Lie algebras and a few in their functions to the spectroscopy of molecules, atoms, nuclei and hadrons. within the first half, it concisely provides the elemental ideas of Lie algebras, their representations and their invariants. the second one half encompasses a description of the way Lie algebras are utilized in perform within the remedy of bosonic and fermionic platforms. actual functions thought of contain rotations and vibrations of molecules (vibron model), collective modes in nuclei (interacting boson model), the atomic shell version, the nuclear shell version, and the quark version of hadrons. one of many key strategies within the software of Lie algebraic tools in physics, that of spectrum producing algebras and their linked dynamic symmetries, is additionally mentioned. The ebook highlights a couple of examples that support to demonstrate the summary algebraic definitions and features a precis of many formulation of sensible curiosity, equivalent to the eigenvalues of Casimir operators, and the scale of the representations of all classical Lie algebras.

For this re-creation, the textual content has been conscientiously revised and extended; particularly, a brand new bankruptcy has been extra at the deformation and contraction of Lie algebras.

From the stories of the 1st edition:

"Iachello has written a pedagogical and simple presentation of Lie algebras [...]. it's a nice textual content to accompany a path on Lie algebras and their actual applications."

(Marc de Montigny, Mathematical stories, factor, 2007 i)

"This publication [...] written via one of many prime specialists within the box [...] will surely be of serious use for college kids or experts that are looking to refresh their wisdom on Lie algebras utilized to physics. [...] a great reference for these drawn to buying functional event [...] and leaving the embarrassing theoretical displays aside."

(Rutwig Campoamor-Stursberg, Zentralblatt MATH, Vol. 1156, 2009)

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