| 场论中的离散积分理论研究 |
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| 作者单位： | ;1.河南教育学院物理与电子工程学院 |
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| 摘 要： | 将差分视作一个几何变量,通过离散差分变分原理,得到场论中的Noether等式的离散形式.给出场论中的离散Noether定理.得到场论中存在离散的Noether守恒量的条件.引入非线性Schr?dinger方程的算例说明理论的应用.
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| 关 键 词： | 离散Noether定理 变分积分子 场论 |
Discrete Integration Theory in Field Theory |
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| Institution: | ,College of Physics and Electronic Engineering,Henan Institute of Education |
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| Abstract: | The discrete analogue of Noether-type identities in field theory is investigated by means of difference discrete variational principle with the difference being regarded as an entire geometric object.The discrete analogue of Noether theorems is obtained.The conditions of existing the discrete analogue of Noether conservation law in field theory are proposed.The discretization for the nonlinear Schr?dinger equation is presented to illustrate the results. |
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| Keywords: | discrete Noether theorem variational integrators field theory |
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