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海森伯自旋链的非线性自旋波进动 英文.doc

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文档介绍:海森伯自旋链的非线性自旋波进动_英文_第29卷第4期曲阜师范大学学报Vol.29No.42003年10月JournalofQufuNormalUniversityOct.2003PRECESSIONOFNONLINEARSPINWAVESINΞHEISENBERGSPINCHAINLIQiu-yan,XIEZheng-wei,SUNWei-li()DepartmentofPhysics,SichuanNormalUniversity,610068,Chengdu,Sichuan,PRCAbstract:Laxpairisgivenfortheequationofmotionofacontinuum-Heisenberg-spin-chain.Intermsofinversescatteringtransformation,precessionofnonlinearspinwavesinspinchainisdiscussed.Thedifferenceofsolutionsisobv2iouslyobtainedbyaspinrotation.Keywords:solitonsolutions;inversescatteringtransformation;spinchain()umber:O212Documentcode:AArticleID:1001-5337200304-0069-04TheclassicalHeisenbergSpinChainisafascinatingnonlineardynamicalsystem,icinteractions,andattractsconsiderableattentionsinnonlinearscienceandcondensed-matterphysics.Inparticular,itscontinuum-limitisgovernedbythewellknownLandau-Lifschitz1,hainhasbeenstudiedinvariousaspectsandtheconstructionofsolitonsolutionsforan4,hainwasalsodiscussed.Inthispaper,weinvestigatethedynamicsofsolitonsinacontinuum-Heisenberg-spin-chainunderanuniversalboundconditionintermsoftheinversescatteringtransformation.Someanalyticalsolutionsofsingle-solitonareobtained.TheHamiltonianoperatorconsideringtheisotropicHeisenbergspinchaincanbewrittenas()H^=-JS^?S^,1ij6〈i,j〉xyz(),Narespinoperators.J>0isthepairinteractionparameter.TheequationofwhereS^?S^,^S,S^withi=1,2,iiiidimotionforthespinoperatoronthekthsiteis^S=-[^S,^H].Atlo

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