国外物理名著系列20:随机矩阵在物理学中的应用(影印版)
¥
300.88
七五品
仅1件
作者[德]布拉钦 著
出版社科学出版社
出版时间2008-08
版次1
装帧精装
货号c66
上书时间2024-12-24
商品详情
- 品相描述:七五品
图书标准信息
-
作者
[德]布拉钦 著
-
出版社
科学出版社
-
出版时间
2008-08
-
版次
1
-
ISBN
9787030226266
-
定价
98.00元
-
装帧
精装
-
开本
16开
-
纸张
胶版纸
-
页数
513页
-
字数
631千字
-
正文语种
英语
- 【内容简介】
-
Dyson和Wigner最先成功地将随机矩阵应用到物理学中,经过六七十年的发展,现在它在物理学中的应用越来越广泛,并且已经渗透到了现代数学、物理学的很多新兴领域,是理论物理学家的重要数学工具。随机矩阵理论相关的数学方法能够解决更多的问题,而且方式更加灵活,在物理学中的应用也更加深入,可以用来计算介观系统的通用关系。它在无序系统和量子混沌领域也有一些新的应用,并且通过建立新的矩阵模型,在二维引力和弦以及非阿贝尔规范理论方面取得了重要进展。
本书由本领域的杰出学者撰写,系统阐述了相关的理论知识。适合对随机矩阵处理物理问题感兴趣的研究生和科研人员参考。
- 【目录】
-
Preface
RandomMatricesandNumberTheory
J.P.Keating
1Introduction
2ζ(1/2+it)andlogζ(1/2+it)
3Characteristicpolynomialsofrandomunitarymatrices
4Othercompactgroups
5FamiliesofL-functionsandsymmetry
6Asymptoticexpansions
References
2DQuantumGravity,MatrixModelsandGraphCombinatorics
P.DiFrancesco
1Introduction
2Matrixmodelsfor2Dquantumgravity
3Theone-matrixmodelI:largeNlimitandtheenumerationofplanargraphs
4Thetreesbehindthegraphs
5Theone-matrixmodelII:topologicalexpansionsandquantumgravity58
6Thecombinatoricsbeyondmatrixmodels:geodesicdistanceinplanargraphs
7Planargraphsasspatialbranchingprocesses
8Conclusion
References
EigenvalueDynamics,FollytonsandLargeNLimitsofMatrices
JoakimArnlind,JensHoppe
References
RandomMatricesandSupersymmetryinDisorderedSystems
K.B.Efetov
1Supersymmetrymethod
2Wavefunctionsfluctuationsinafinitevolume.Multifractality
3Recentandpossiblefuturedevelopments
4Summary
Acknowledgements
References
HydrodynamicsofCorrelatedSystems
AlexanderG.Abanoy
1Introduction
2Instantonorrarefluctuationmethod
3Hydrodynamicapproach
4Linearizedhydrodynamicsorbosoflization
5EFPthroughanasymptoticsofthesolution
6Freefermions
7Calogero-Sutherlandmodel
8Freefermionsonthelattice
9Conclusion
Acknowledgements
Appendix:Hydrodynamicapproachtonon-Galileaninvariantsystems
Appendix:ExactresultsforEFPinsomeintegrablemodels
References
QCD,ChiralRandomMatrixTheoryandIntegrability
J.JM.Verbaarschot
1Summarv
2IntrodUCtion
3OCD
4TheDiracspectruminQCD
5LoweflergylimitofQCD
6ChiralRMTandtheQCDDiracspectrum
7IntegrabilityandtheQCDpartitionfunction
8QCDatfinitebaryondensity
9FullQCDatnonzerochemicalpotential
10Conclusions
Acknowledgements
References
EUClideanRandomMatrices:SOlvedandOpenProblems
GiorgioParisi
1Introduction
2Basicdefinitions
3Physicalmotivations
4Fieldtheory
5Thesimplestcase
6Phonons
References
MatrixModelsandGrowthProcesses3
A.Zabrodin
1Introduction
2Someensemblesofrandommatriceswithcornplexeigenvalues
3ExactresultsatfiniteN
4LargeNlimit
5Thematrixmodelasagrowthproblem
References
MatrixModelsandTopologicalStrings
MarcosMarino
1Introduction
2Matrixmodels
3TypeBtopologicalstringsandmatrixmodels
4TypeAtopologicalstrings,Chern-Simonstheoryandmatrixmodels366
References
MatrixModelsofModuliSpace
SunilMukhi
1Introduction
2ModulispaceofRiemannsurfacesanditstopology
3Quadraticdifferentialsandfatgraphs
4ThePennermodel
5Pennermodelandmatrixgammafunction
6TheKontsevichModel
7Applicationstostringtheory
8Conclusions
References
MatrixModelsand2DStringTheory
EmilJ.Martinec
1Introduction
2Anoverviewofstringtheory
3StringsinD-dimensionalspacetime
4Discretizedsurfacesand2Dstringtheory
5Anoverviewofobservables
6Samplecalculation:thediskone-pointfunction
7Worldsheetdescriptionofmatrixeigenvalues
8Furtherresults
9Openproblems
References
MatrixModelsasConformalFieldTheories
IvanK.Kostov
1Introductionandhistoricalnotes
2Hermitianmatrixintegral:saddlepointsandhyperellipticcurves
3ThehermitianmatrixmodelasachiralCFT
4Quasiclassicalexpansion:CFTonahyperellipticRiemannsurface
5Generalizationtochainsofrandommatrices
References
LargeNAsymptoticsofOrthogonalPolynomialsfromIntegrabilitytoAlgebraicGeometry
B.Eynard
1Introduction
2Definitions
3Orthogonalpolynomials
4Differentialequationsandintegrability
5Riemann-Hilbertproblemsandisomonodromies
6WKB-likeasymptoticsandspectralcurve
7Orthogonalpolynomialsasmatrixintegrals
8ComputationofderivativesofF(0)
9Saddlepointmethod
10Solutionofthesaddlepointequation
11Asymptoticsoforthogonalpolynomials
12Conclusion
References
点击展开
点击收起
— 没有更多了 —
以下为对购买帮助不大的评价