Verfügbarkeit: Introduction to the graphical theory of angular momentum

Introduction to the graphical theory of angular momentum: case studies

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Bibliographische Detailangaben
Beteiligte Personen:	Balcar, Ewald (VerfasserIn), Lovesey, Stephen W. (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Berlin [u.a.] Springer 2009
Ausgabe:	1. Aufl.
Schriftenreihe:	Springer tracts in modern physics 234
Schlagwörter:	Angular momentum (Nuclear physics) > Coupling and recoupling > Graphic methods Quantenmechanik Grafische Darstellung Drehimpuls
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018648833&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XIII, 227 S. Ill., graph. Darst. 235 mm x 155 mm
ISBN:	9783642031175

Internformat

MARC


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Datensatz im Suchindex

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adam_text	CONTENTS 1 INTRODUCTION 1 1.1 HISTORICAL BACKGROUND 1 1.2 INTENT AND MOTIVATION 2 1.3 LAYOUT AND CONTENTS 3 1.4 APPLICATION OF THE GRAPHICAL THEORY 5 2 PROPERTIES OF 3JM- AND 3NJ-SYMBOLS 7 2.1 PROPERTIES OF 3JM-SYMBOLS 7 2.2 PROPERTIES OF 3NJ-SYMBOLS 10 2.3 COMMENT ON NOTATION 10 3 BASIC TOOLS FOR THE GRAPHICAL METHOD 11 3.1 GRAPHICAL REPRESENTATION OF 3JM-SYMBOLS 11 3.2 SPECIAL ELEMENTS OF THE GRAPHICAL METHOD 13 3.3 TREATMENT OF 3JM-SYMBOLS WITH A ZERO-LINE 14 3.4 DIRECT CHANGE OF A NODE SIGN 15 3.5 SINGLE EXTERNAL LINE 17 3.6 TWO-LINE NODES 19 3.7 A SIMPLE CLOSED DIAGRAM 21 3.8 REVERSAL OF DIRECTION FOR AN INTERNAL LINE 24 3.9 LINE REVERSAL OF AN EXTERNAL LINE 25 3.9.1 REVERSAL OF AN OUTGOING LINE 26 3.9.2 REVERSAL OF AN INGOING LINE 26 3.9.3 REVERSAL OF AN OUTGOING LINE AND A J = 0-LINE 27 3.9.4 REVERSAL OF AN INGOING LINE AND AJ = 0-LINE 28 4 ORTHOGONALITY RELATIONS FOR 3JM-SYMBOLS 31 4.1 IDENTITY FOR 3JM-SYMBOLS I 31 4.2 IDENTITY FOR 3JM-SYMBOLS II 34 4.3 IDENTITY FOR 3JM-SYMBOLS III 36 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/995195919 DIGITALISIERT DURCH XII CONTENTS 5 PROPERTIES OF THE 6J-SYMBOL 41 5.1 DEFINITION OF THE 6J-SYMBOL 41 5.2 SYMMETRY PROPERTIES OF THE 6J-SYMBOL 43 5.3 6J-SYMBOL WITH A ZERO ELEMENT 45 5.4 6J-SYMBOL WITH THREE O-LINES 46 6 PROPERTIES OF THE 9J-SYMBOL 49 6.1 DEFINITION OF THE 9J-SYMBOL 49 6.2 SYMMETRY PROPERTIES OF THE 9J-SYMBOL 51 6.3 A 9J-SYMBOL WITH A ZERO ELEMENT 52 7 GENERAL PRINCIPLES FOR DIAGRAMS 55 7.1 MULTIPLICATION CONVENTION 55 7.2 NOTATION FOR GRAPHICAL ELEMENTS 56 7.3 TRANSFORMATION AND DEFORMATION 56 7.4 DIAGRAMS CONNECTED BY A SINGLE INTERNAL LINE 57 7.5 SEPARATION FOR DIAGRAMS CONNECTED BY TWO LINES 58 7.6 CONTRACTION OF TWO ANGULAR MOMENTUM LINES 60 7.7 SUMMATION PROCEDURE 61 7.8 SEPARATION FOR THREE LINES 63 7.9 JOINING TWO DIAGRAMS 66 7.10 SEPARATION FOR FOUR LINES 67 7.11 SEPARATION FOR FIVE LINES 69 8 CLOSED DIAGRAMS 73 8.1 SUMS WITH SINGLE 3NJ-SYMBOIS 73 8.1.1 SUM WITH A 3^-SYMBOL 73 8.1.2 ALTERNATING SUM WITH A 3J-SYMBOL 75 8.1.3 SUM WITH A 6J-SYMBOL 76 8.1.4 ALTERNATING SUM WITH A 6J-SYMBOL 78 8.1.5 SUM WITH A 9J-SYMBOL 81 8.2 SUMS WITH TWO 3NJ-SYMBOLS 82 8.2.1 SUM WITH TWO 6 SYMBOLS 82 8.2.2 ALTERNATING SUM WITH TWO 6J-SYMBOLS 85 8.2.3 SUM WITH A 6J- AND A 9J-SYMBOL 88 8.2. CONTENTS XIII 9.4 SUM WITH FOUR 3JM-SYMBOLS II 129 A VARIATION OF THIS FORMULA 133 9.5 SUM WITH SIX 3JM-SYMBOLS 136 A VARIATION OF THIS FORMULA 143 9.6 NEW FORMULA FOR A PRODUCT OF TWO 3JM-SYMHOLS 146 9.7 RECOVERING A PREVIOUS RESULT 152 10 APPLICATION IN ATOMIC PHYSICS 159 10.1 SPHERICAL TENSOR OPERATORS 159 10.2 REDUCED MATRIX ELEMENTS 160 10.3 X-RAY ABSORPTION: AN EL PROCESS 162 10.4 RESONANCE-ENHANCED X-RAY SCATTERING: JE1-1-PROCESS 164 10.5 EQUIVALENT ATOMIC TENSOR OPERATOR 166 10.6 RETAINING DEPENDENCE ON J AND M 171 10.7 THE SUM OVER M 186 10.8 THE SUM OVER J 190 CONFIRMATION VIA A DIFFERENT ROUTE 193 REFERENCES 201 PROPERTIES OF SPHERICAL TENSOR OPERATORS 203 A.I SPHERICAL COMPONENTS 203 A.2 TIME REVERSAL OPERATOR 0 204 A.3 WIGNER-ECKART THEOREM 204 A.4 TIME REVERSAL AND PARITY 205 A.5 REDUCED MATRIX ELEMENTS 207 A.6 EQUIVALENT OPERATORS 208 A.7 MANY ELECTRON UNIT TENSORS 209 LIST OF DIAGRAMS 213 B.I 3JM-SYMBOLS 213 B.2 SPECIAL DIAGRAMS WITH TWO-LINE NODES 214 B.3 SPECIFIC 3NJ-SYMBOLS 216 B.
any_adam_object	1
author	Balcar, Ewald Lovesey, Stephen W.
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discipline	Physik Allgemeine Naturwissenschaft
edition	1. Aufl.
format	Book
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isbn	9783642031175
language	English
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series	Springer tracts in modern physics
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spellingShingle	Balcar, Ewald Lovesey, Stephen W. Introduction to the graphical theory of angular momentum case studies Springer tracts in modern physics Angular momentum (Nuclear physics) Coupling and recoupling Graphic methods Quantenmechanik (DE-588)4047989-4 gnd Grafische Darstellung (DE-588)4129552-3 gnd Drehimpuls (DE-588)4150572-4 gnd
subject_GND	(DE-588)4047989-4 (DE-588)4129552-3 (DE-588)4150572-4
title	Introduction to the graphical theory of angular momentum case studies
title_auth	Introduction to the graphical theory of angular momentum case studies
title_exact_search	Introduction to the graphical theory of angular momentum case studies
title_full	Introduction to the graphical theory of angular momentum case studies Ewald Balcar ; Stephen W. Lovesey
title_fullStr	Introduction to the graphical theory of angular momentum case studies Ewald Balcar ; Stephen W. Lovesey
title_full_unstemmed	Introduction to the graphical theory of angular momentum case studies Ewald Balcar ; Stephen W. Lovesey
title_short	Introduction to the graphical theory of angular momentum
title_sort	introduction to the graphical theory of angular momentum case studies
title_sub	case studies
topic	Angular momentum (Nuclear physics) Coupling and recoupling Graphic methods Quantenmechanik (DE-588)4047989-4 gnd Grafische Darstellung (DE-588)4129552-3 gnd Drehimpuls (DE-588)4150572-4 gnd
topic_facet	Angular momentum (Nuclear physics) Coupling and recoupling Graphic methods Quantenmechanik Grafische Darstellung Drehimpuls
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018648833&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000000153
work_keys_str_mv	AT balcarewald introductiontothegraphicaltheoryofangularmomentumcasestudies AT loveseystephenw introductiontothegraphicaltheoryofangularmomentumcasestudies

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