Coadjoint Orbits, Spin and Dequantization

Spinning particles, coadjoint orbits and Hamiltonian formalism

The extensive analysis of the dynamics of relativistic spinning particles is presented. Using the coadjoint orbits method the Hamiltonian dynamics is explicitly described. The main technical tool is the factorization of general Lorentz transformation into pure boost and rotation. The equivalent constrained dynamics on Poincare group (viewed as configuration space) is derived and complete classification of constraints is performed. It is shown that the first class constraints generate local symmetry corresponding to the stability subgroup of some point on coadjoint orbit. The Dirac brackets for…

收敛到余伴随轨道的矩阵代数的Dirac算子

Dirac operators for matrix algebras converging to coadjoint orbits

该研究针对高能物理中矩阵代数逼近空间结构的需求，提出余伴随轨道及收敛矩阵代数的统一Dirac算子构造，证明对应量子度量空间在强量子Gromov-Hausdorff距离下收敛。