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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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Detalles Bibliográficos
Autor principal: Louck, James D
Lenguaje:eng
Publicado: World Scientific 2011
Materias:
Acceso en línea:http://cds.cern.ch/record/1408698
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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
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institution Organización Europea para la Investigación Nuclear
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publishDate 2011
publisher World Scientific
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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