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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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2011
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| Schlagworte: | |
| Online-Zugang: | FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | 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 matrices, the properties of magic squares and an associated generalized Regge form, the Zeilberger counting formula for alternating sign matrices, and the Heisenberg ring problem, viewed as a composite system in which the total angular momentum is conserved. The readership is intended to be advanced graduate students and researchers interested in learning about the relationship between unitary symmetry and combinatorics and challenging unsolved problems. The many examples serve partially as exercises, but this monograph is not a textbook. It is hoped that the topics presented promote further and more rigorous developments that lead to a deeper understanding of the angular momentum properties of complex systems viewed as composite wholes |
| Beschreibung: | xxxv, 344 p |
| ISBN: | 9789814350723 |
Internformat
MARC
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| 245 | 1 | 0 | |a Applications of unitary symmetry and combinatorics |c James D. Louck |
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| 520 | |a 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 matrices, the properties of magic squares and an associated generalized Regge form, the Zeilberger counting formula for alternating sign matrices, and the Heisenberg ring problem, viewed as a composite system in which the total angular momentum is conserved. The readership is intended to be advanced graduate students and researchers interested in learning about the relationship between unitary symmetry and combinatorics and challenging unsolved problems. The many examples serve partially as exercises, but this monograph is not a textbook. It is hoped that the topics presented promote further and more rigorous developments that lead to a deeper understanding of the angular momentum properties of complex systems viewed as composite wholes | ||
| 650 | 4 | |a Combinatorial analysis | |
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Louck, James D. 1928- |
| author_GND | (DE-588)141071044 |
| author_facet | Louck, James D. 1928- |
| author_role | aut |
| author_sort | Louck, James D. 1928- |
| author_variant | j d l jd jdl |
| building | Verbundindex |
| bvnumber | BV044638479 |
| classification_rvk | SK 950 UK 3000 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00001378 (OCoLC)1012624620 (DE-599)BVBBV044638479 |
| dewey-full | 516.13 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.13 |
| dewey-search | 516.13 |
| dewey-sort | 3516.13 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044638479 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:53Z |
| institution | BVB |
| isbn | 9789814350723 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030036452 |
| oclc_num | 1012624620 |
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| owner_facet | DE-92 |
| physical | xxxv, 344 p |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| spelling | Louck, James D. 1928- Verfasser (DE-588)141071044 aut Applications of unitary symmetry and combinatorics James D. Louck Singapore World Scientific Pub. Co. c2011 xxxv, 344 p txt rdacontent c rdamedia cr rdacarrier 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 matrices, the properties of magic squares and an associated generalized Regge form, the Zeilberger counting formula for alternating sign matrices, and the Heisenberg ring problem, viewed as a composite system in which the total angular momentum is conserved. The readership is intended to be advanced graduate students and researchers interested in learning about the relationship between unitary symmetry and combinatorics and challenging unsolved problems. The many examples serve partially as exercises, but this monograph is not a textbook. It is hoped that the topics presented promote further and more rigorous developments that lead to a deeper understanding of the angular momentum properties of complex systems viewed as composite wholes Combinatorial analysis Eightfold way (Nuclear physics) Kombinatorik (DE-588)4031824-2 gnd rswk-swf Unitäre Symmetrie (DE-588)4627368-2 gnd rswk-swf Unitäre Symmetrie (DE-588)4627368-2 s Kombinatorik (DE-588)4031824-2 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789814350716 Erscheint auch als Druck-Ausgabe 9814350710 http://www.worldscientific.com/worldscibooks/10.1142/8161#t=toc Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Louck, James D. 1928- Applications of unitary symmetry and combinatorics Combinatorial analysis Eightfold way (Nuclear physics) Kombinatorik (DE-588)4031824-2 gnd Unitäre Symmetrie (DE-588)4627368-2 gnd |
| subject_GND | (DE-588)4031824-2 (DE-588)4627368-2 |
| title | Applications of unitary symmetry and combinatorics |
| title_auth | Applications of unitary symmetry and combinatorics |
| title_exact_search | Applications of unitary symmetry and combinatorics |
| title_full | Applications of unitary symmetry and combinatorics James D. Louck |
| title_fullStr | Applications of unitary symmetry and combinatorics James D. Louck |
| title_full_unstemmed | Applications of unitary symmetry and combinatorics James D. Louck |
| title_short | Applications of unitary symmetry and combinatorics |
| title_sort | applications of unitary symmetry and combinatorics |
| topic | Combinatorial analysis Eightfold way (Nuclear physics) Kombinatorik (DE-588)4031824-2 gnd Unitäre Symmetrie (DE-588)4627368-2 gnd |
| topic_facet | Combinatorial analysis Eightfold way (Nuclear physics) Kombinatorik Unitäre Symmetrie |
| url | http://www.worldscientific.com/worldscibooks/10.1142/8161#t=toc |
| work_keys_str_mv | AT louckjamesd applicationsofunitarysymmetryandcombinatorics |