【几何量子化和量子代数的经典实现】.pdf
ZHEJIANGUNIVERSITY Ph.D.Thesis GeometricQuantizationandClassical Realizations ofQuantumAlgebras Name of Candidate:Shao-MingFEI RegistrationNumber:PhD8802548 Specializedin:TheoreticalPhysics AcademicAdvisors:Wen-ZhuLI ZhejiangUniversity Han-YingGUO Institute of‘Theoretical Physics May
tion methodwe geta setofprequantizationoperatorswhich constitute the SU-o algebra in Lie brackets.A non-trivial Hopf algebraic structure is constructed for SUh-o algebra with these operators.It is also shown that the symplectic one forinfor SU algebramay beregarded as the monopole potential
5Representation spaceandEigenvalueRelationsof SUAlgebra 5HopfAlgebraicStructures andRepresentationsof SUqxAlgebrainq-OscillatorAnalogues .5Monopolesandq-DeforrnedMonopoles Chapter6SymplecticGeometryandAlgebraicStructures on2-dManifolds 6.