现代数学物理方法（第4卷）

图书标准信息

• 作者 M.Reed、B.Simon 编
• 出版社 世界图书出版公司
• 出版时间 2003-06
• 版次 1
• ISBN 9787506259347
• 定价 59.00元
• 装帧 平装
• 开本 其他
• 纸张 胶版纸
• 页数 396页

【内容简介】

WiththepublicationofVolumesIIIandIVwehavecompletedourpresentationofthematerialwhichweoriginallyplannedas"VolumeII"atthetimeofpublicationofVolumeI.WeoriginallypromisedthepublisherthattheentireserieswouldbecompletedninemonthsafterwesubmittedVolumeI.Well!Wehavelistedthecontentsoffuturevolumesbelow.Wearenotfoolhardyenoughtomakeanypredictions.

【目录】

Preface
Introduction
ContentsofOtherVolumes
XII:PERTURBATIONOFPOINTSPECTRA
1.Finite-dimensionalperturbationtheory
AppendixAlgebraicandgeometricmultiplicityofeigenvaluesoffinitematrices
2.Regularperturbationtheory
3.Asymptoticperturbationtheory
4.Summabilitymethodsinperturbationtheory
5.Spectralconcentration
6.ResonancesandtheFermigoldenrule
Notes
Problems
XlII:SPECTRALANALYSIS
1.Therain-maxprinciple
2.BoundstatesofSchr‘6dingeroperatorsI:Quantitativemethods
3.BoundstatesofSchr‘odingeroperatorsII:Qualitativetheory
A.Isdisc（H）finiteorinfinite?
B.BoundsonN（V）inthecentralcase
C.BoundsonN（V）inthegeneraltwo-bodycase
4.LocatingtheessentialspectrumI:Weyl'stheorem
5.LocatingtheessentialspectrumIII:TireHVZtheorem
6.TheabsenceofsingularcontinuousspectrumI:Generaltheory
7.TheabsenceofsingularcontinuousspectrumII:Smoothperturbations
A.Weaklycoupledquantumsystems
B.Positivecommutatorsandrepulsivepotentials
C.Localsmoothnessandwaveoperatorsforrepulsivepotentials
8.TheabsenceofsingularcontinuousspectrumIII:WeightedL2spaces
9.Thespectrumofctensorproducts
10.TheabsenceofsingularcontinuousspectrumIV:Dilationanalyticpotentials
11.Propertiesofeigenfitnctions
12.Nondegeneracyofthegroundstate
Appendix1TheBeurling-Denycriteria
Appendix2TheLevy-Khintchinecformula
13.Absenceofpositiveeigenvalues
AppendixUniquecontinuationtheoremsforSchrodingeroperators
14.Compactnesscriteriaandoperatorswithcompactresolvent
15.Theasymptoticdistributionofeigenvalues
16.Schr6dingeroperatorswithperiodicpotentials
17.Anintroductiontothespecraltheoryofnon-self-adjointoperators
Notes
Problems
ListofSymbols
Index