凝聚态场论
作者:
[德] 奥特兰德
（Altland A.） 著
出版时间:
2008-05
版次:
1
ISBN:
9787506292092
定价:
99.00
装帧:
平装
开本:
16开
纸张:
胶版纸
页数:
624页
正文语种:
英语
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Theoreticalcondensedmatterphysicsdrawsheavilyandincreasinglyonthelanguageofquantumfieldtheory.Thisprimerisaimedatelevatinggraduatestudentsofcondensedmatterphysicstoalevelwheretheycanengageinindependentresearch.Itemphasizesthedevelopmentofmodemmethodsofclassicalandquantumfieldtheorywithapplicationsofinterestinbothexperimentalandtheoreticalcondensedmatterphysics.Topicscoveredincludesecondquantization,pathandfunctionalfieldintegration,mean-fieldtheoryandcollectivephenomena,therenormalizationgroup,andtopology.Conceptualaspectsandformalmethodologyareemphasizedanddeveloped,butthediscussionisrootedfirmlyinpracticalexperimentalapplication.Aswellasroutineexercises,thetextincludesextendedandchallengingproblems,withfullyworkedsolutions,designedtoprovideabridgebetweenformalmanipulationsandresearch-orientedthinking. Preface
1Fromparticlestofields
1.1Classicalharmonicchain:phonons
1.2Functionalanalysisandvariationalprinciples
1.3Maxwellsequationsasavariationalprinciple
1.4Quantumchain
1.5Quantumelectrodynamics
1.6Noetherstheorem
1.7Summaryandoutlook
1.8Problems
2Secondquantization
2.1Introductiontosecondquantization
2.2Applicationsofsecondquantization
2.3Summaryandoutlook
2.4Problems
3Feymnanpathintegral
3.1Thepathintegral:generalformalism
3.2Constructionofthepathintegral
3.3ApplicationsoftheFeynmanpathintegral
3.4Summaryandoutlook
3.5Problems
4Functionalfieldintegral
4.1Constructionofthemany-bodypathintegral
4.2Fieldintegralforthequantumpartitionfunction
4.3Fieldtheoreticalbosonization:acasestudy
4.4Summaryandoutlook
4.5Problems
5Perturbationtheory
5.1Generalstructuresandlow-orderexpansions
5.2Groundstateenergyoftheinteractingelectrongas
5.3Infinite-orderexpansions
5.4Summaryandoutlook
5.5Problems
6Brokensymmetryandcollectivephenomena
6.1Mean-fieldtheory
6.2Plasmatheoryoftheinteractingelectrongas
6.3Bose-Einsteincondensationandsuperfluidity
6.4Superconductivity
6.5Fieldtheoryofthedisorderedelectrongas
6.6Summaryandoutlook
6.7Problems
7Responsefunctions
7.1Crashcourseinmodemexperimentaltechniques
7.2Linearresponsetheory
7.3Analyticstructureofcorrelationfunctions
7.4Electromagneticlinearresponse
7.5Summaryandoutlook
7.6Problems
8Therenormalizationgroup
8.1Theone-dimensionalIsingmodel
8.2Dissipativequantumtunneling
8.3Renormalizationgroup:generaltheory
8.4RGanalysisoftheferromagnetictransition
8.5RGanalysisofthenonlinearo-model
8.6Berezinskii-Kosterlitz-Thoulesstransition
8.7Summaryandoutlook
8.8Problems
9Topology
9.1Example:particleonaring
9.2Homotopy
9.30-Terms
9.4Wess-Zuminoterms
9.5Chern-Simonsterms
9.6Summaryandoutlook
9.7Problems
Index
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内容简介:
Theoreticalcondensedmatterphysicsdrawsheavilyandincreasinglyonthelanguageofquantumfieldtheory.Thisprimerisaimedatelevatinggraduatestudentsofcondensedmatterphysicstoalevelwheretheycanengageinindependentresearch.Itemphasizesthedevelopmentofmodemmethodsofclassicalandquantumfieldtheorywithapplicationsofinterestinbothexperimentalandtheoreticalcondensedmatterphysics.Topicscoveredincludesecondquantization,pathandfunctionalfieldintegration,mean-fieldtheoryandcollectivephenomena,therenormalizationgroup,andtopology.Conceptualaspectsandformalmethodologyareemphasizedanddeveloped,butthediscussionisrootedfirmlyinpracticalexperimentalapplication.Aswellasroutineexercises,thetextincludesextendedandchallengingproblems,withfullyworkedsolutions,designedtoprovideabridgebetweenformalmanipulationsandresearch-orientedthinking.
-
目录:
Preface
1Fromparticlestofields
1.1Classicalharmonicchain:phonons
1.2Functionalanalysisandvariationalprinciples
1.3Maxwellsequationsasavariationalprinciple
1.4Quantumchain
1.5Quantumelectrodynamics
1.6Noetherstheorem
1.7Summaryandoutlook
1.8Problems
2Secondquantization
2.1Introductiontosecondquantization
2.2Applicationsofsecondquantization
2.3Summaryandoutlook
2.4Problems
3Feymnanpathintegral
3.1Thepathintegral:generalformalism
3.2Constructionofthepathintegral
3.3ApplicationsoftheFeynmanpathintegral
3.4Summaryandoutlook
3.5Problems
4Functionalfieldintegral
4.1Constructionofthemany-bodypathintegral
4.2Fieldintegralforthequantumpartitionfunction
4.3Fieldtheoreticalbosonization:acasestudy
4.4Summaryandoutlook
4.5Problems
5Perturbationtheory
5.1Generalstructuresandlow-orderexpansions
5.2Groundstateenergyoftheinteractingelectrongas
5.3Infinite-orderexpansions
5.4Summaryandoutlook
5.5Problems
6Brokensymmetryandcollectivephenomena
6.1Mean-fieldtheory
6.2Plasmatheoryoftheinteractingelectrongas
6.3Bose-Einsteincondensationandsuperfluidity
6.4Superconductivity
6.5Fieldtheoryofthedisorderedelectrongas
6.6Summaryandoutlook
6.7Problems
7Responsefunctions
7.1Crashcourseinmodemexperimentaltechniques
7.2Linearresponsetheory
7.3Analyticstructureofcorrelationfunctions
7.4Electromagneticlinearresponse
7.5Summaryandoutlook
7.6Problems
8Therenormalizationgroup
8.1Theone-dimensionalIsingmodel
8.2Dissipativequantumtunneling
8.3Renormalizationgroup:generaltheory
8.4RGanalysisoftheferromagnetictransition
8.5RGanalysisofthenonlinearo-model
8.6Berezinskii-Kosterlitz-Thoulesstransition
8.7Summaryandoutlook
8.8Problems
9Topology
9.1Example:particleonaring
9.2Homotopy
9.30-Terms
9.4Wess-Zuminoterms
9.5Chern-Simonsterms
9.6Summaryandoutlook
9.7Problems
Index
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