论文标题
复杂坐标中的广义协方差汉密尔顿系统
The generalized covariant Hamilton system in complex coordinates
论文作者
论文摘要
Imitating methods of working on the GCHS and GSPB defined on ${\mathbb{R}^{r}}$ in real coordinates, an attempt to follow this way in complex coordinates is considered, then we try to generalize the PB on ${\mathbb{C}^{n}}$ in complex coordinates to the GSPB with zero restriction of the在复杂的坐标中表达的非二烯元与公式中的实际情况兼容。因此,然后由GSPB定义的复杂坐标中的GCH是对真实情况的自洽的。同时,我们发现公式中的真实情况和复杂情况之间的GCH有所不同。在复杂坐标中,实际坐标中的GCH与GCHS中的GCH区分开的大部分是,复杂形式的TGHS具有额外的表达。
Imitating methods of working on the GCHS and GSPB defined on ${\mathbb{R}^{r}}$ in real coordinates, an attempt to follow this way in complex coordinates is considered, then we try to generalize the PB on ${\mathbb{C}^{n}}$ in complex coordinates to the GSPB with zero restriction of the non-degeneracy expressed in complex coordinates that is compatible with the real case in formulas. Thusly, then the GCHS in complex coordinates defined by the GSPB is self-consistent to the real situation. Meanwhile, we find some difference of the GCHS between the real and complex case in formula. Much of what distinguishes a GCHS in real coordinates from a GCHS in complex coordinates is that the TGHS in complex form has an extra expression.