摘要
讨论了广义守恒定理Ⅰ成立的条件。在场论中,可以由Noether定理得到两个广义守恒定理,其中广义守恒定理Ⅰ表明,当某张量在三维空间体积表面及其以外为零时,可能有守恒量的存在。然后给出一个更为普遍的守恒定理,此定理的成立条件为"某张量在三维空间表面上的通量为零",这一条件要弱于原定理的条件"某张量在三维空间体积表面及其以外为零",最后对此定理进行了证明。
The auther of this paper discussed the generalized conservation theorem Ⅰ. In the field theory, two generalized conservation theorems can be obtained according to Noether theorem. Among them, the generalized conservation theorem Ⅰ shows that there may be a conservation quantity when a tensor is zero on the surface of the volume of three-dimensional space and beyond. Then a more general conservation theorem is deduced. The condition of this theorem is that the flux of a tensor on the surface of three-dimensional space is zero, with the result being the same as the original theorem. But the condition that“the flux of a tensor on the surface of three-dimensional space is zero”is weaker than that of the original theorem that“a tensor on the surface of three-dimensional space and beyond is zero”. Finally, the theorem is proved.
作者
刘紫玉
郭秋芬
华雪侠
LIU Ziyu;GUO Qiufen;HUA Xuexia(School of Physics and Electronic Engineering,Xianyang Normal University,Xianyang 712000,Shaanxi,China)
出处
《咸阳师范学院学报》
2021年第4期14-16,共3页
Journal of Xianyang Normal University
基金
陕西省教育厅科研计划项目(14JK1794)。
