外場作用下耗散諧振子體系的量子主方程.pdf

1、中國科學(xué)技術(shù)大學(xué)碩士學(xué)位論文外場作用下耗散諧振子體系的量子主方程姓名：田保玲申請學(xué)位級別：碩士專業(yè)：物理化學(xué)指導(dǎo)教師：徐瑞雪20080601ABSTRACTABSTRACTBrownianosciHatoristhesimplestandexactlysolvablesysteminquantumdissipation，forwhichasingleequationofmotionofrathersimpleformcanbeconst

2、ructedthroughvariousapproachesHowever，previousworkhadnotconsideredtheexternaltimedependentfielddrivingThisworkpresentsadetailedderivationoftheexactquantummasterequation(QME)foradrivenBrownianoscillator(DBO)systemviatheWi

3、gnerphase。spaceGaussianwavepacket(GWP)approachItisshownthattheinterplaybetweenexternaltimedependentfieldinteractionandnon—Markoviandissi—pationleadstoalocalfieldcorrection，inadditionaltotheexternalfieldthatdrivesthecoher

4、entdynamicsRelevantpropertiesanddynamicsbehavioraredemonstratedExemplifiedforacontinuouswavedrivensystem，thesignificanceofthefieldcorrectioneffectisclearlyshownInChapter1，weintroducesomefundamentalsofquantummechanics，inc

5、ludingthetimeevolutionofthewavefunctioninHilbenspaceandthetimeevolutionofthedensityoperatorinLiouvillespaceThepropagationwithtimedependentHamiltonian，theinteractionpictureandthewignerrepresentationaresummarizedInChapter2

6、，weintroducethetheoreticalbackgroundinquantumdissipationtheory(QDT)，includingthereducedsystemprescription，thecorrelationandresponsefunctionsversuslinearresponsetheorywithemphasisonkeyconceptSandfluctuationdissipationtheo

7、remInChapter3，theHamiltonianandLangevinequationofthedrivenBrownianOS—cillatorsystemareintroducedInChapter4，detailedderivationtoconstructtheexactQMEofDBOsystemsViatheGWParegivenForthissystem，itsdynamicsisGaussian，characte

8、rizedbythephase—spacecoordinateandmomentumaveragesandvariancesTheirequationsofmotioncanbederivedviatheHeisenbergequationBaseonthese，theQMEfortheDBOsystemisconstructedviathetimederivativeontheWignerspacewavepacketpropagat

9、ionfunctionInChapter5，severalissuesareinvestigatedonthebasisoftheaboveconstructedQME，includingtheasymptoticbehaviors，theMarkovianwhitenoiselimit，andtheequilibriumanddynamicpropertiesforacolorednoisebathwiththeaidoftheDru