Unitary symmetry and combinatorics:
This monograph integrates unitary symmetry and combinatorics, showing in great detail how the coupling of angular momenta in quantum mechanics is related to binary trees, trivalent trees, cubic graphs, MacMahon's master theorem, and other basic combinatorial concepts. A comprehensive theory of...
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2008
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Schlagworte: | |
Online-Zugang: | FHN01 URL des Erstveröffentlichers |
Zusammenfassung: | This monograph integrates unitary symmetry and combinatorics, showing in great detail how the coupling of angular momenta in quantum mechanics is related to binary trees, trivalent trees, cubic graphs, MacMahon's master theorem, and other basic combinatorial concepts. A comprehensive theory of recoupling matrices for quantum angular momentum is developed. For the general unitary group, polynomial forms in many variables called matrix Schur functions have the remarkable property of giving all irreducible representations of the general unitary group and are the basic objects of study. The structure of these irreducible polynomials and the reduction of their Kronecker product is developed in detail, as is the theory of tensor operators |
Beschreibung: | xxi, 619 p. ill |
ISBN: | 9789812814739 |
Internformat
MARC
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100 | 1 | |a Louck, James D. |d 1928- |e Verfasser |0 (DE-588)141071044 |4 aut | |
245 | 1 | 0 | |a Unitary symmetry and combinatorics |c James D. Louck |
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520 | |a This monograph integrates unitary symmetry and combinatorics, showing in great detail how the coupling of angular momenta in quantum mechanics is related to binary trees, trivalent trees, cubic graphs, MacMahon's master theorem, and other basic combinatorial concepts. A comprehensive theory of recoupling matrices for quantum angular momentum is developed. For the general unitary group, polynomial forms in many variables called matrix Schur functions have the remarkable property of giving all irreducible representations of the general unitary group and are the basic objects of study. The structure of these irreducible polynomials and the reduction of their Kronecker product is developed in detail, as is the theory of tensor operators | ||
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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 | BV044636421 |
collection | ZDB-124-WOP |
ctrlnum | (ZDB-124-WOP)00001454 (OCoLC)1012651571 (DE-599)BVBBV044636421 |
dewey-full | 511.6 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 511 - General principles of mathematics |
dewey-raw | 511.6 |
dewey-search | 511.6 |
dewey-sort | 3511.6 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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id | DE-604.BV044636421 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:57:49Z |
institution | BVB |
isbn | 9789812814739 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030034392 |
oclc_num | 1012651571 |
open_access_boolean | |
owner | DE-92 |
owner_facet | DE-92 |
physical | xxi, 619 p. ill |
psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
publishDate | 2008 |
publishDateSearch | 2008 |
publishDateSort | 2008 |
publisher | World Scientific Pub. Co. |
record_format | marc |
spelling | Louck, James D. 1928- Verfasser (DE-588)141071044 aut Unitary symmetry and combinatorics James D. Louck Singapore World Scientific Pub. Co. c2008 xxi, 619 p. ill txt rdacontent c rdamedia cr rdacarrier This monograph integrates unitary symmetry and combinatorics, showing in great detail how the coupling of angular momenta in quantum mechanics is related to binary trees, trivalent trees, cubic graphs, MacMahon's master theorem, and other basic combinatorial concepts. A comprehensive theory of recoupling matrices for quantum angular momentum is developed. For the general unitary group, polynomial forms in many variables called matrix Schur functions have the remarkable property of giving all irreducible representations of the general unitary group and are the basic objects of study. The structure of these irreducible polynomials and the reduction of their Kronecker product is developed in detail, as is the theory of tensor operators Combinatorial analysis Eightfold way (Nuclear physics) Kombinatorische Analysis (DE-588)4164746-4 gnd rswk-swf Kombinatorik (DE-588)4031824-2 gnd rswk-swf Kernphysik (DE-588)4030340-8 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 Kombinatorische Analysis (DE-588)4164746-4 s Kernphysik (DE-588)4030340-8 s 2\p DE-604 http://www.worldscientific.com/worldscibooks/10.1142/6863#t=toc Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Louck, James D. 1928- Unitary symmetry and combinatorics Combinatorial analysis Eightfold way (Nuclear physics) Kombinatorische Analysis (DE-588)4164746-4 gnd Kombinatorik (DE-588)4031824-2 gnd Kernphysik (DE-588)4030340-8 gnd Unitäre Symmetrie (DE-588)4627368-2 gnd |
subject_GND | (DE-588)4164746-4 (DE-588)4031824-2 (DE-588)4030340-8 (DE-588)4627368-2 |
title | Unitary symmetry and combinatorics |
title_auth | Unitary symmetry and combinatorics |
title_exact_search | Unitary symmetry and combinatorics |
title_full | Unitary symmetry and combinatorics James D. Louck |
title_fullStr | Unitary symmetry and combinatorics James D. Louck |
title_full_unstemmed | Unitary symmetry and combinatorics James D. Louck |
title_short | Unitary symmetry and combinatorics |
title_sort | unitary symmetry and combinatorics |
topic | Combinatorial analysis Eightfold way (Nuclear physics) Kombinatorische Analysis (DE-588)4164746-4 gnd Kombinatorik (DE-588)4031824-2 gnd Kernphysik (DE-588)4030340-8 gnd Unitäre Symmetrie (DE-588)4627368-2 gnd |
topic_facet | Combinatorial analysis Eightfold way (Nuclear physics) Kombinatorische Analysis Kombinatorik Kernphysik Unitäre Symmetrie |
url | http://www.worldscientific.com/worldscibooks/10.1142/6863#t=toc |
work_keys_str_mv | AT louckjamesd unitarysymmetryandcombinatorics |