空間幾何約束對量子波導(dǎo)中相移的影響.pdf

1、天津大學(xué)碩士學(xué)位論文空間幾何約束對量子波導(dǎo)中相移的影響姓名：朱學(xué)敏申請學(xué)位級別：碩士專業(yè)：理論物理指導(dǎo)教師：楊新娥20030101ABST礎(chǔ)憶TTherearemanygeometricalandglobalpropertiesinquantumsystemsIt’SveryimportantthatwavefunctionphaseiSsensitivetogeometricalorglobaleffectManySCientists

2、havebeguntOstudywavefunctionphase，especially，geometricalphaseintheoryandexperimentsinceBerry’SphasewastestifiedexperimentallySomepeoplehavediscussedtheielationofgeometricalconstraintandwavefunctionphaseshiftanddrawnaconc

3、lusionthatgeometricalconstraintcanaffectwavefunctionphaseshiftButtheydidn’tdiSCUSShowitaffectsthewavefunctionphaseshiftindetailWetrytofindthemainfactorsthataffectthephaseshiftinthispaperqualitativelyWeanalysisthemotionan

4、dphaseshiftsofthequantumparticlespassingthroughwaveguidesrestrictedbygeometricalboundaryconditionandthereisn’tanyforceandpotentialfieldWeuseSchrSdingerequationThere，itmustbepointedoutthatthewallsofdifferentwaveguidesarei

5、mpenetrable，andthedifferencesaregeometricalshapesofthecrosssectionsonlyTheSchrSdingerequationforrectangularorcirclarsectioniSeasilYsolvedTothewaveguidesortubeswithe11ipticalsectionorothershapes，suchastriangular，evenmorec

6、omp]exCROSSsection，weadoptthenumericalmethodandfindthevariationoftheenergyparameter七：withrespecttothewaveguidesection，thencalculatephaseshift△≯Accordingtothenumericalsolutions，wecomparephaseshiftswithrectangular、circular