经典英文物理教材系列：旋量与时空（第1卷）

图书标准信息

• 作者 [英]彭罗斯 著
• 出版社 世界图书出版公司
• 出版时间 2009-01
• 版次 1
• ISBN 9787506291743
• 定价 49.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 457页
• 正文语种 简体中文，英语

【内容简介】

　　《旋量与时空(第1卷)》isthefirsttopresentacomprehensivedevelopmentofspace-timegeometryusingthe2-spinorformalism.Therearealsoseveralothernewfeaturesinourpresentation.Oneoftheseisthesystematicandconsistentuseoftheabstractindexapproachtotensorandspinorcalculus.Wehopethatthepuristdifferentialgeometerwhocasuallyleafsthroughthebookwillnotautomaticallybeputoffbytheappearanceofnumerousindices.Exceptfortheoccasionalbold-faceuprightones，ourindicesdifferfromthemoreusualonesinbeingabstractmarkerswithoutreferencetoanybasisorcoordinatesystem.Ouruseofabstractindicesleadstoanumberofsimplificationsoverconventionaltreatments.

【目录】

Preface
1Thegeometryofworld-vectorsandspin-vectors
1.1Minkowskivectorspace
1.2Nulldirectionsandspintransformations
1.3SomepropertiesofLorentztransformations
1.4Nullflagsandspin-vectors
1.5Spinorialobjectsandspinstructure
1.6Thegeometryofspinoroperations

2Abstractindicesandspinoralgebra
2.1Motivationforabstract-indexapproach
2.2Theabstract-indexformalismfortensoralgebra
2.3Bases
2.4Thetotalreflexivityofonamanifold
2.5Spinoralgebra

3Spinorsandworid-tensors
3.1World-tensorsasspinors
3.2Nullflagsandcomplexnullvectors
3.3Symmetryoperations
3.4Tensorrepresentationofspinoroperations
3.5Simplepropositionsabouttensorsandspinorsatapoint
3.6Lorentztransformations

4Differentiationandcurvature
4.1Manifolds
4.2Covariantderivative
4.3Connection-independentderivatives
4.4Differentiationofspinors
4.5Differentiationofspinorcomponents
4.6Thecurvaturespinors
4.7SpinorformulationoftheEinstein-Cartan-Sciama-Kibbletheory
4.8TheWeyltensorandtheBeI-Robinsontensor
4.9Spinorformofcommutators
4.10SpinorformoftheBianchiidentity
4.11Curvaturespinorsandspin-coefficients
4.12Compactedspin-coefficientformalism
4.13Cartansmethod
4.14Applicationsto2-surfaces
4.15Spin-weightedsphericalharmonics

5Fieldsinspace-time
5.1Theelectromagneticfieldanditsderivativeoperator
5.2Einstein-Maxwellequationsinspinorform
5.3TheRainichconditions
5.4Vectorbundles
5.5Yang-Millsfields
5.6Conformalrescalings
5.7Masslessfields
5.8Consistencyconditions
5.9Conformalinvarianceofvariousfieldquantities
5.10Exactsetsoffields
5.11Initialdataonalightcone
5.12Explicitfieldintegrals
Appendix：diagrammaticnotation
References
Subjectandauthorindex
Indexofsymbols