现代数学物理方法（第3卷）（英文版）

图书标准信息

• 作者 M.Reed、B.Simon 著
• 出版社 世界图书出版公司
• 出版时间 2003-06
• 版次 1
• ISBN 9787506259330
• 定价 68.00元
• 装帧 平装
• 开本 其他
• 纸张 胶版纸
• 页数 463页

【内容简介】

InthepreparationofthisvolumewewerefortunatetoreceiveadvicefromC.Berning，P.Deift，V.Enss，G.Hagedorn，J.Holder，T.Ikebe，M.Klaus，S.Kuroda，J.MorganIII，S.Pinault，J.Rauch，S.Ruijsenaars，andL.Smith.Wearegratefultotheseindividualsandotherswhosecommentsmadethisbookbetter.

【目录】

Preface
Introduction
ContentsofOtherVolumes
XI:SCATTERINGTHEORY
1.Anoverviewofscatteringphenomena
2.Classicalparticlescattering
3.ThebasicprinciplesofscatteringinHilbertspace
Appendix1Stationaryphasemethods
Appendix2Traceidealpropertiesoff(x)g(-i)
Appendix3Ageneralinvarianceprincipleforwaveoperators
4.QuantumscatteringI:Two-bodycase
5.QuantumscatteringII:N-bodycase
6.QuantumscatteringIII:Eigenfunctionexpansions
AppendixIntroductiontoeigenfunctionexpansionsbytheauxiliaryspacemethod
7.QuantumscatteringIV:Dispersionrelations
8.QuantumscatteringV:Centralpotentials
A.ReductionoftheS-matrixbysymmetries
B.Thepartialwaveexpansionanditsconvergence
C.PhaseshiftsandtheirconnectiontotheSchrodingerequation
D.Thevariablephaseequation
E.JostfunctionsandLevinsonstheorem
F.AnalyticityofthepartialwareamplitudeforgeneralizedYukawapotentials
G.TheKohnvariationalprinciple
Appendix1LegendrepolynomialsandsphericalBesselfunctions
Appendix2dostsolutionsforoscillatorypotentials
Appendix3dostsolutionsandthefimdamentalproblemsofscatteringtheory
9.Long-rangepotentials
10.OpticalandacousticalscatteringI:Schrodingeroperatormethods
AppendixTraceclasspropertiesofGreensfunctions
11.OpticalamiacousticalscatteringII:TheLax-Phillipsmethod
AppendixThetwistingtrick
12.ThelinearBoltzmannequation
13.Nonlinearwareequations
AppendixConsercedcurrents
14.Spinwavescattering
15.QuantumfeldscatteringI:Theexternalfield
16.QuantumfieldscatteringII:TheHaag-Ruelletheory
17.Phasespaceanalysisofscatteringandspectraltheory
AppendixTheRAGEtheorem
Notes
NotesonscatteringtheoryonC*-algebras
Problems
MATERIALPREPRINTEDFROMVOLUMEIV
XIII.6TheabsenceofsingularcontinuousspectrumI:Generaltheory
XIII.7TheabsenceofsingularcontinuousspectrumII:Smoothperturbations
A.Weaklycoupledquantumsystems
B.Positirecommutatorsandrepulsivepotentials
C.LocalsmoothnessandwareoperatorsJbrrepulsivepotentials
XIII.8TheabsenceofsingularcontinuousspectrumIII:
WeightedL2spaces
Notes
Problems
ListofSymbols
Index