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001			278942
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008			150903s2008 xxu| o |||| 0|eng d
020			_a9780387734705 _99780387734705
024	7		_a10.1007/b13137 _2doi
035			_avtls000332376
039		9	_a201509031112 _bVLOAD _c201405070501 _dVLOAD _y201402041027 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQC5.53
100	1		_aMcClain, William. _eautor _9302937
245	1	0	_aSymmetry Theory in Molecular Physics with Mathematica : _bA new kind of tutorial book / _cby William McClain.
250			_a1.
264		1	_aNew York, NY : _bSpringer New York, _c2008.
300			_axiv, 504 páginas 100 ilustraciones, 50 ilustraciones en color. _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
500			_aSpringer eBooks
505	0		_aA tutorial on notebooks -- A basic tutorial -- The meaning of symmetry -- Axioms of group theory -- Several kinds of groups -- The fundamental theorem -- The multiplication table -- Molecules -- The point groups -- Euler rotation matrices -- Lie’s axis-angle rotations -- Recognizing matrices -- to the character table -- The operator MakeGroup -- Product groups -- Naming the point groups -- Tabulated representations of groups -- Visualizing groups -- Subgroups -- Lagrange’s Theorem -- Classes -- Symmetry and quantum mechanics -- Transformation of functions -- Matrix representations of groups -- Similar representations -- The MakeRep operators -- Reducible representations -- The MakeUnitary operator -- Schur’s reduction -- Schur’s First Lemma -- Schur’s Second Lemma -- The Great Orthogonality -- Character orthogonalities -- Reducible rep analysis -- The regular representation -- Projection operators -- Tabulated bases for representations -- Quantum matrix elements -- Constructing SALCs -- Hybrid orbitals -- Vibration analysis -- Multiple symmetries -- One-photon selection rules -- Two-photon tensor projections -- Three-photon tensor projections -- Class sums and their products -- Make a character table.
520			_aProf. McClain has indeed produced "a new kind of tutorial book." It is written using the logic engine Mathematica, which permits concrete exploration and development of every concept involved in Symmetry Theory. The book may be read in your hand, or on a computer screen with Mathematica running behind it. It is intended for students of chemistry and molecular physics who need to know mathematical group theory and its applications, either for their own research or for understanding the language and concepts of their field. The book has three major parts: Part I begins with the most elementary symmetry concepts, showing how to express them in terms of matrices and permutations. These are then combined into mathematical groups. Many chemically important point groups are constructed and kept in a Mathematica package for easy reference. No other book gives such easy access to the groups themselves. The automated group construction machinery allows you to tabulate new groups that may be needed in research, such as permutation groups that describe flexible molecules. In Part II, mathematical group theory is presented with motivating questions and experiments coming first, and theorems that answer those questions coming second. You learn to make representations of groups based on any set of symmetric objects, and then to make Mathematica operators that carry out rep construction as a single call. Automated construction of representations is offered by no other book. Part II follows a reconstructed trail of questions, clues and solid results that led Issai Schur to a complete proof of the Great Orthogonality. In Part III, the projection operators that flow from the Great Orthogonality are automated and applied to chemical and spectroscopic problems, which are now seen to fall within a unified intellectual framework. The topics include chemical bonding in symmetric molecules, molecular vibrations and rigorous reasoning about quantum mechanical matrix elements. As a concrete example of the enormous power of the automated projectors, the tensor operators for two- and three- photon processes are projected under all tabulated groups. All the machinery presented is general, and will work with new groups that you may construct. Finally, there is machinery that accepts as input the multiplication table of any group and returns as output its character table. This will be of great use to spectroscopists who deal with flexible molecules belonging to permutation groups, which are too numerous even for a Mathematica package.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780387734699
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/b13137 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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