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1、摘要目前，受迫量子諧振子問(wèn)題的研究已經(jīng)成為一個(gè)熱點(diǎn)，含時(shí)受迫諧振子系統(tǒng)是量子力學(xué)中能夠精確求解其含時(shí)薛定諤方程的的少數(shù)幾個(gè)量子系統(tǒng)之一。本文首先描述了經(jīng)典的受迫諧振子，后對(duì)量子力學(xué)中的諧振子作了初步描述，然后依據(jù)含時(shí)非齊次波個(gè)留夫變換的公式體系詳細(xì)討論了受迫量子諧振子的薛定諤方程精確解并且用初等的方法探討了諧振子的躍遷幾率問(wèn)題。關(guān)鍵詞：受迫量子諧振子；薛定諤方程；波函數(shù)；躍遷幾率locatedintheTomb,DongShenJiabang,deferthenextdayfocusedontheassassination.Linping,Zhejiang,1ofwhichliquorw
2、inemasters(WuzhensaidinformationisCarpenter),whogotAfewbayonets,duetomissedfatal,whennightcame19ABSTRACTAtpresent,theresearchofcompelledQuantumharmonicoscillatorhavealreadybecomeahotspot,thisisthequestionwecangiveaexactsolutioninQuantumquestions.Thisarticlefirstdescribestheclassicalharmonicoscill
3、ator,lattermakeapreliminarydescriptionofquantummechanicsharmonicoscillator,thendiscussedthecompelledquantumharmonicoscillatorindetailandgivetheSchr?dingerequationexactsolutionandstudythetransitionprobabilityoftheharmonicoscillator.Keywords:compelledQuantumharmonic;Schr?dingerequation;transitionpr
4、obability;transitionprobabilitylocatedintheTomb,DongShenJiabang,deferthenextdayfocusedontheassassination.Linping,Zhejiang,1ofwhichliquorwinemasters(WuzhensaidinformationisCarpenter),whogotAfewbayonets,duetomissedfatal,whennightcame19目錄引言……………………………………………………………………………………11經(jīng)典諧振子.....................
5、............................................................................................21.1經(jīng)典諧振子的描述………………....………………………………...….........21.2阻尼諧振子……………….………………………………………...………….31.3受迫諧振子…………………………………………………………………….52受迫諧振子……………….……….……………………..………………….………62.1量子諧振子（一維）…………………………………………….……………62.2受迫量子
6、諧振子薛定諤方程的精確解…………………………..………......92.3諧振子在含時(shí)均勻外場(chǎng)下躍遷概率的精確解..............................................13參考文獻(xiàn).....................................................................................................................17致謝……………………………………………………………………………….....18locatedintheTomb,DongShenJiaban
7、g,deferthenextdayfocusedontheassassination.Linping,Zhejiang,1ofwhichliquorwinemasters(WuzhensaidinformationisCarpenter),whogotAfewbayonets,duetomissedfatal,whennightcame19引言在物理學(xué)的學(xué)習(xí)過(guò)程中，我們經(jīng)常遇到諧振子的有關(guān)問(wèn)題。理學(xué)中諧振子是在物理學(xué)習(xí)中必須接觸到的
