力學(xué)系統(tǒng)的對(duì)稱性和守恒量的應(yīng)用.pdf

1、安慶師范學(xué)院碩士學(xué)位論文力學(xué)系統(tǒng)的對(duì)稱性和守恒量的應(yīng)用姓名：錢華峰申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：王其申201105053AbstractThesymmetriesconservedquantitiesofthemechanicssystemsareusedwidelyinsomefieldsofthemodernphysicsmodernmathematics.Thispaperisderivedfromthepaperof

2、theGermanywomanmathematicsin1918.ThatistheNoetherthey.TheconnectionsontheinvariantconservedquantitiesareknownbytheinfinitetransfmationofgroupwiththeHamiltonoperat.Inthechapter1thedevelopedstagesoftheclassicalmechanicsare

3、discussed.Inthechapter2thesymmetriesconservedquantitiesofNoether，Lie，Meiareconcluded.Inthechapter3thetheyofthesymmetriesconservedquantitiesofthemechanicssystemscanbeappliedtheLagrangemechanicssystems.Thesymmetriesconserv

4、edquantitiesofthefamousEmdenequationisobtained.Inthechapter4thetheyofthesymmetriesconservedquantitiesofthemechanicssystemscanbeappliedtheHamiltonmechanicssystems.ThesymmetriesconservedquantitiesoftheLagrangefunctionofthe

5、singlefreedegreesystemisobtained.Inthechapter5thetheyofthesymmetriesconservedquantitiesofthemechanicssystemsisgeneralizedtheLRCcircuitsystem.ThesymmetriesconservedquantitiesoftheLRCcircuitsystemisobtained.Inthechapter6th

6、eHojmanconservedquantitycanbeusedtosolvetheEulerequationinmathematics.Inthechapter7theapplicationsofthesymmetriesconservedquantitiesofthemechanicssystemsareconcludedinprospect.Keywds:mechanicssystems，symmetry，conservedqu