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Theoretical condensed matter physics draws heavily and increasingly on the language of quantum field theory. This primer is aimed at elevating graduate students of condensed matter physics to a level where they can engage in independent research. It emphasizes the development of modem methods of classical and quantum field theory with applicati*** of interest in both experimental and theoretical condensed matter physics. Topics covered include second quantization, path and functional field integration, mean-field theory and collective phenomena, the renormalization group, and topology. Conceptual ***ects and formal methodology are emphasized and developed, but the discussion is rooted firmly in practical experimental application. As well as routine exercises, the text includes extended and challenging problems, with fully worked soluti***, designed to provide a bridge between formal manipulati*** and research-oriented thinking.
书籍目录:
Preface
Fromparticlestofields
.Classicalharmonicchain-phon***
.2Functional***ysisandvariationalprinciples
.3Maxwellsequati***asariationalprinciple
.4Quantumchain
.5Quantumelectrodynamics
.6Noetherstheorem
.7Summaryandoutlook
.8Problems
2Secondquantization
2.Introductiontosecondquantization
2.2Applicati***ofsecondquantization
2.3Summaryandoutlook
2.4Problems
3Feymnanpathintegral
3.Thepathintegral-generalformalism
3.2C***tructionofthepathintegral
3.3Applicati***oftheFeynmanpathintegral
3.4Summaryandoutlook
3.***roblems
4Functionalfieldintegral
4.C***tructionofthemany-bodypathintegral
4.2Fieldintegralforthequantumpartitionfunction
4.3Fieldtheoreticalbosonization-acasestudy
4.4Summaryandoutlook
4.***roblems
***erturbationtheory
5.Generalstructuresandlow-orderexpansi***
5.2Groundstateenergyofthein***ctingelectrongas
5.3Infinite-orderexpansi***
5.4Summaryandoutlook
5.***roblems
6Bro
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Theoreticalcondensedmatterphysicsdrawsheilyandincreasinglyonthelanguageofquantumfieldtheory.Thisprimerisaimedatelevatinggraduatestudentsofcondensedmatterphysicstoalevelwheretheycanengageinindependentresearch.Itemphasizesthedevelopmentofmodemmethodsofclassicalandquantumfieldtheorywithapplicati***ofinterestinbothexperimentalandtheoreticalcondensedmatterphysics.Topicscoveredincludesecondquantization-pathandfunctionalfieldintegration-mean-fieldtheoryandcollectivephenomena-therenormalizationgroup-andtopology.Conceptual***ectsandformalmethodologyareemphasizedanddeveloped-butthediscussionisrootedfirmlyinpracticalexperimentalapplication.Aswellasroutineexercises-thetextinclude***tendedandchallengingproblems-withfullyworkedsoluti***-designedtoprovideabridgebetweenformalmanipulati***andresearch-orientedthinking.
书籍介绍
Theoretical condensed matter physics draws heavily and increasingly on the language of quantum field theory. This primer is aimed at elevating graduate students of condensed matter physics to a level where they can engage in independent research. It emphasizes the development of modem methods of classical and quantum field theory with applicati*** of interest in both experimental and theoretical condensed matter physics. Topics covered include second quantization, path and functional field integration, mean-field theory and collective phenomena, the renormalization group, and topology. Conceptual ***ects and formal methodology are emphasized and developed, but the discussion is rooted firmly in practical experimental application. As well as routine exercises, the text includes extended and challenging problems, with fully worked soluti***, designed to provide a bridge between formal manipulati*** and research-oriented thinking.
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