## Read e-book online Lie Algebras and Applications (Lecture Notes in Physics) PDF

By Francesco Iachello

ISBN-10: 3662444933

ISBN-13: 9783662444931

This course-based primer offers an creation to Lie algebras and a few in their purposes to the spectroscopy of molecules, atoms, nuclei and hadrons. within the first half, it concisely offers the fundamental innovations of Lie algebras, their representations and their invariants. the second one half contains a description of ways Lie algebras are utilized in perform within the therapy of bosonic and fermionic platforms. actual purposes 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 innovations within the program of Lie algebraic equipment in physics, that of spectrum producing algebras and their linked dynamic symmetries, can be mentioned. The booklet highlights a few examples that support to demonstrate the summary algebraic definitions and incorporates a precis of many formulation of sensible curiosity, equivalent to the eigenvalues of Casimir operators, and the size of the representations of all classical Lie algebras.

For this re-creation, the textual content has been conscientiously revised and accelerated; specifically, a brand new bankruptcy has been further 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 studies, factor, 2007 i)*

"This ebook [...] written by way of one of many prime specialists within the box [...] will surely be of serious use for college students or experts that are looking to refresh their wisdom on Lie algebras utilized to physics. [...] a superb reference for these drawn to buying sensible adventure [...] and leaving the embarrassing theoretical displays aside."

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