relativistic quantum fields

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1、RelativisticQuantumFields1MarkHindmarshUniversityofSussexm.b.hindmarsh@sussex.ac.ukAutumnTerm2001Tuesday10:15amArundel1CThursday12:30pmArundel1CPostScriptandPDFversionsofthesenotesavailable:http://www.pact.cpes.susx.ac.uk/users/markh/RQF1/rqf1.pshttp://www.pact.cp

2、es.susx.ac.uk/users/markh/RQF1/rqf1.pdfContents0Courseinformation31Preliminaries72Relativisticwaveequations72.1SpecialRelativityinrelativisticnotation..............72.1.1LorentztransformationsandSpace-timeinterval......72.1.2Relativisticnotation...................

3、..82.1.3MatrixrepresentationofLorentztransformations.....82.1.4Space-timemetric.......................92.1.5GeneralLorentztransformations:theLorentzgroup....102.1.6Derivatives..........................102.1.74-vectorsandthescalarproduct...............112.1.8Thed'A

4、lembertian......................122.1.9Lorentzcovariance......................122.2Klein-Gordonequation........................132.3Maxwell'sequationsincovariantform................142.3.1Gauges.............................1713Lagrangianformulationofeldtheory193.

5、1LagrangianandHamiltonianmechanics...............193.1.1LagrangianMechanics....................203.1.2HamiltonianMechanics....................213.2Lagrangianmechanicsfortherealscalareld...........233.3Lagrangianmechanicsfortheelectromagneticeld........263.4Noeth

6、er'stheoremandconservationlaws..............283.4.1Conservationofenergy-momentum.............314Canonicalquantisation324.1Quantisationofnitesystems....................324.2Therealscalareld..........................334.3Statesofthescalareld;zeropointenergy......

7、.......374.4Particleinterpretationofstates...................404.5TheElectromagneticField......................415Pathintegrals446Interactingelds44AUsefulthingstoknow45A.1Fouriertransformoffunctionalderivative..............45BProblemSheets47B.1ProblemSheet1......

8、......................47B.2ProblemSheet2............................49B.3ProblemSheet3............................51B.4ProblemSheet4....................