On equations of motion on Siegel-Jacobi spaces generated by linear Hamiltonians in the generators of the Jacobi group

30th International Colloquium on Group Theoretical Methods in Physics

Berceanu, Stefan^1

National Institute for Physics and Nuclear Engineering, Department of Theoretical Physics, PO BOX MG-6, Bucharest-Magurele, Romania^1

关键词: Classical motion;    Coherent state;    Quantum evolution;    Siegel disks;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/597/1/012016/pdf
DOI  :  10.1088/1742-6596/597/1/012016

来源: IOP

【 摘 要 】

It is proved that the equations of classical motion and the quantum evolution on the Siegel-Jacobi disk generated by a Hamiltonian linear in the generators of the Jacobi group Gj1obtained by the Wei-Norman method and a method used in the context of Berezin's quantization are identical. In a certain set of variables the motion on the Siegel disk and C are decoupled. The geometric significance and the meaning in the context of coherent states of this coordinates are emphasized.