图解量子力学(英文版·第2版)

作者S.Brandt/等
出版社
出版时间1998-03-01

特色:

片断:1.IntroductionThebasicfieldsofclassicalphysicsaremechanicsandheatontheonehandandelectromagnetismandopticsontheother.Mechanicalandheatphe-nomenainvolvethemotionofparticlesasgovemedbyNewton'sequations.Electromagnetismandopticsdealwithfieldsandwaves,whicharedescribedbyMaxwell'sequations.Intheclassicaldescriptionofparticlemotion,thepositionoftheparticleisexactlydeterminedatanygivenmoment.Wavephenomena,incontrast,arecharacterizedbyinterferencepattemswhichex-tendoveracertainregioninspace.Thestrictseparationofparticleandwavephysicslosesitsmeaninginatomicandsubatomicprocesses.QuantummechanicsgoesbacktoMaxPlanck'sdiscoveryin1900thattheenergyofanoscillatoroffrequencyvisquantized.Thatis,theenergyemittedorabsorbedbyanoscillatorcantakeonlythevalues0,hv,Ihv,....OnlymultiplesofPlanck'squantumofenergyarepossible.Planck'sconstantisafundamentalconstantofnature,thecentraloneofquantumphysics.Oftenitispreferabletousetheangularfrequencyw=2voftheoscillatorandtowritePlanck'squantumofenergyintheform1.1ThePhotoelectricEffectThephotoelectriceffectwasdiscoveredbyHeinrichHertzin1887.ItwasstudiedinmoredetailbyWilhelmHallwachsin1888andPhilippLenardin1902.Wediscussherethequantitativeexperiment,whichwasfirstcarriedoutin1916byR.A.Millikan.HisapparatusisshownschematicallyinFigure1.la.Monochromaticlightofvariablefrequencyfallsontoaphotocathodeinavacuumtube.Oppositethephotocathodethereisananode-weassumecathodeandanodetoconsistofthesamemetal-whichisatanegativevoltageUwithrespecttothecathode.Thustheelectricfieldexertsarepellingforceontheelectronsofcharge-ethatleavethecathode.Heree=1.609xl0-19Coulombistheelementarycharge.Iftheelectronsreachtheanode,theyflowbacktothecathodethroughtheextemalcircuit,yieldingameasurablecurrent1.Thekineticenergyoftheelectronscanthereforebedeterminedbyvaryingthevoltagebetweenanodeandcathode.Theexperimentyieldsthefollowingfindings.1.Theelectroncurrentsetsin,independentofthevoltageU,atafrequencyvothatischaracteristicforthematerialofthecathode.Thereisacurrentonlyforv>V0.2.ThevoltageUsatwhichthecurrentstopsflowingdependslinearlyonthefrequencyofthelight(Figurel.lb).

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