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Applications of unitary symmetry and combinatorics
This monograph is a synthesis of the theory of the pairwise coupling of the angular momenta of arbitrarily many independent systems to the total angular momentum in which the universal role of doubly stochastic matrices and their quantum-mechanical probabilistic interpretation is a major theme. A un...
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Lenguaje: | eng |
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World Scientific
2011
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Acceso en línea: | http://cds.cern.ch/record/1408698 |
_version_ | 1780923824665001984 |
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author | Louck, James D |
author_facet | Louck, James D |
author_sort | Louck, James D |
collection | CERN |
description | This monograph is a synthesis of the theory of the pairwise coupling of the angular momenta of arbitrarily many independent systems to the total angular momentum in which the universal role of doubly stochastic matrices and their quantum-mechanical probabilistic interpretation is a major theme. A uniform viewpoint is presented based on the structure of binary trees. This includes a systematic method for the evaluation of all 3n-j coefficients and their relationship to cubic graphs. A number of topical subjects that emerge naturally are also developed, such as the algebra of permutation matrice |
id | cern-1408698 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2011 |
publisher | World Scientific |
record_format | invenio |
spelling | cern-14086982021-04-22T00:46:48Zhttp://cds.cern.ch/record/1408698engLouck, James DApplications of unitary symmetry and combinatoricsMathematical Physics and MathematicsThis monograph is a synthesis of the theory of the pairwise coupling of the angular momenta of arbitrarily many independent systems to the total angular momentum in which the universal role of doubly stochastic matrices and their quantum-mechanical probabilistic interpretation is a major theme. A uniform viewpoint is presented based on the structure of binary trees. This includes a systematic method for the evaluation of all 3n-j coefficients and their relationship to cubic graphs. A number of topical subjects that emerge naturally are also developed, such as the algebra of permutation matriceWorld Scientificoai:cds.cern.ch:14086982011 |
spellingShingle | Mathematical Physics and Mathematics Louck, James D Applications of unitary symmetry and combinatorics |
title | Applications of unitary symmetry and combinatorics |
title_full | Applications of unitary symmetry and combinatorics |
title_fullStr | Applications of unitary symmetry and combinatorics |
title_full_unstemmed | Applications of unitary symmetry and combinatorics |
title_short | Applications of unitary symmetry and combinatorics |
title_sort | applications of unitary symmetry and combinatorics |
topic | Mathematical Physics and Mathematics |
url | http://cds.cern.ch/record/1408698 |
work_keys_str_mv | AT louckjamesd applicationsofunitarysymmetryandcombinatorics |