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时间:2018-07-28
《quantum mechanics - j. norbury》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、QUANTUMMECHANICSProfessorJohnW.NorburyPhysicsDepartmentUniversityofWisconsin-MilwaukeeP.O.Box413Milwaukee,WI53201November20,2000Contents1WAVEFUNCTION71.1ProbabilityTheory........................81.1.1Mean,Average,ExpectationValue...........81.1.2Avera
2、geofaFunction..................101.1.3Mean,Median,Mode..................101.1.4StandardDeviationandUncertainty..........111.1.5ProbabilityDensity...................141.2PostulatesofQuantumMechanics...............141.3ConservationofProbability(Continui
3、tyEquation)......191.3.1ConservationofCharge.................191.3.2ConservationofProbability...............221.4InterpretationoftheWaveFunction..............231.5ExpectationValueinQuantumMechanics...........241.6Operators.............................
4、241.7CommutationRelations.....................271.8Problems.............................321.9Answers..............................332DIFFERENTIALEQUATIONS352.1OrdinaryDi®erentialEquations.................352.1.1SecondOrder,Homogeneous,Linear,OrdinaryD
5、i®er-entialEquationswithConstantCoe±cients......362.1.2InhomogeneousEquation................392.2PartialDi®erentialEquations..................422.3PropertiesofSeparableSolutions................442.3.1GeneralSolutions.....................442.3.2Station
6、aryStates.....................442.3.3De¯niteTotalEnergy..................4512CONTENTS2.3.4AlternatingParity....................462.3.5Nodes...........................462.3.6CompleteOrthonormalSetsofFunctions.......462.3.7Time-dependentCoe±cients......
7、........492.4Problems.............................502.5Answers..............................513INFINITE1-DIMENSIONALBOX533.1EnergyLevels...........................543.2WaveFunction..........................573.3Problems.............................633
8、.4Answers..............................644POSTULATESOFQUANTUMMECHANICS654.1MathematicalPreliminaries...................654.1.1HermitianOperators...................654.1.2EigenvalueEquations..................664.2Postulate4.....................
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