000 | 04601nam a22005175i 4500 | ||
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001 | 978-3-662-44494-8 | ||
003 | DE-He213 | ||
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007 | cr nn 008mamaa | ||
008 | 141013s2015 gw | s |||| 0|eng d | ||
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_a9783662444948 _9978-3-662-44494-8 |
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024 | 7 |
_a10.1007/978-3-662-44494-8 _2doi |
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_a530.15 _223 |
100 | 1 |
_aIachello, Francesco. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aLie Algebras and Applications _h[electronic resource] / _cby Francesco Iachello. |
250 | _a2nd ed. 2015. | ||
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2015. |
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300 |
_aXVIII, 272 p. 37 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Physics, _x0075-8450 ; _v891 |
|
505 | 0 | _aBasic Concepts -- Semisimple Lie Algebras -- Lie Groups -- Lie Algebras and Lie Groups -- Homogeneous and Symmetric Spaces (Coset Spaces). - Irreducible Bases (Representations) -- Casimir Operators and Their Eigenvalues -- Tensor Operators -- Boson Realizations -- Fermion Realizations -- Differential Realizations -- Matrix Realizations -- Coset Spaces -- Spectrum Generating Algebras and Dynamic Symmetries -- Degeneracy Algebras and Dynamical Alebras -- Index. | |
520 | _aThis 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). | ||
650 | 0 | _aMathematical physics. | |
650 | 0 | _aQuantum theory. | |
650 | 1 | 4 |
_aMathematical Methods in Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19013 |
650 | 2 | 4 |
_aMathematical Applications in the Physical Sciences. _0http://scigraph.springernature.com/things/product-market-codes/M13120 |
650 | 2 | 4 |
_aQuantum Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19080 |
650 | 2 | 4 |
_aParticle and Nuclear Physics. _0http://scigraph.springernature.com/things/product-market-codes/P23002 |
650 | 2 | 4 |
_aAtomic, Molecular, Optical and Plasma Physics. _0http://scigraph.springernature.com/things/product-market-codes/P24009 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662444931 |
776 | 0 | 8 |
_iPrinted edition: _z9783662444955 |
830 | 0 |
_aLecture Notes in Physics, _x0075-8450 ; _v891 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-662-44494-8 |
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