000 | 03667nam a22005295i 4500 | ||
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001 | 978-3-540-36239-5 | ||
003 | DE-He213 | ||
005 | 20190213151815.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2006 gw | s |||| 0|eng d | ||
020 |
_a9783540362395 _9978-3-540-36239-5 |
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024 | 7 |
_a10.1007/3-540-36239-8 _2doi |
|
050 | 4 | _aQC5.53 | |
072 | 7 |
_aPHU _2bicssc |
|
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_aSCI040000 _2bisacsh |
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072 | 7 |
_aPHU _2thema |
|
082 | 0 | 4 |
_a530.15 _223 |
100 | 1 |
_aIachello, Francesco. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aLie Algebras and Applications _h[electronic resource] / _cby Francesco Iachello. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2006. |
|
300 |
_aXIV, 196 p. 26 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Physics, _x0075-8450 ; _v708 |
|
505 | 0 | _aBasic Concepts -- Semisimple Lie Algebras -- Lie Groups -- Irreducible Bases (Representations) -- Casimir Operators and Their Eigenvalues -- Tensor Operators -- Boson Realizations -- Fermion Realizations -- Differential Realizations -- Matrix Realizations -- Spectrum Generating Algebras and Dynamic Symmetries -- Degeneracy Algebras and Dynamical Algebras. | |
520 | _aThis book, designed for advanced graduate students and post-graduate researchers, provides an introduction to Lie algebras and some of their applications to the spectroscopy of molecules, atoms, nuclei and hadrons. In the first part, a concise exposition is given of the basic concepts of Lie algebras, their representations and their invariants. The second part contains 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 contains many examples that help to elucidate the abstract algebraic definitions. It provides 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. | ||
650 | 0 | _aMathematical physics. | |
650 | 0 | _aTopological Groups. | |
650 | 0 | _aQuantum theory. | |
650 | 1 | 4 |
_aMathematical Methods in Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19013 |
650 | 2 | 4 |
_aTopological Groups, Lie Groups. _0http://scigraph.springernature.com/things/product-market-codes/M11132 |
650 | 2 | 4 |
_aAtomic/Molecular Structure and Spectra. _0http://scigraph.springernature.com/things/product-market-codes/P24017 |
650 | 2 | 4 |
_aParticle and Nuclear Physics. _0http://scigraph.springernature.com/things/product-market-codes/P23002 |
650 | 2 | 4 |
_aQuantum Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19080 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642071621 |
776 | 0 | 8 |
_iPrinted edition: _z9783540826569 |
776 | 0 | 8 |
_iPrinted edition: _z9783540362364 |
830 | 0 |
_aLecture Notes in Physics, _x0075-8450 ; _v708 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/3-540-36239-8 |
912 | _aZDB-2-PHA | ||
912 | _aZDB-2-LNP | ||
999 |
_c11946 _d11946 |