THE PHASE SPACE FEYNMAN PATH INTEGRAL WITH GAUGE INVARIANCE AND ITS CONVERGENCE
THE PHASE SPACE FEYNMAN PATH INTEGRAL WITH GAUGE INVARIANCE AND ITS CONVERGENCE
复制标题
具有规范不变性的相空间费曼路径积分及其收敛性
DOI：
10.1142/s0129055x00000630
复制
发表时间：
2000
影响因子：
1.8
通讯作者：
W. Ichinose
中科院分区：
文献类型：
--
作者：
W. Ichinose
本文以具有电磁势的相空间中的费曼路径积分为例，研究了时间切片近似的收敛性。本文提出了一种不同于物理学中常见的Feynman路径积分的新的相空间近似，使它的收敛性与电磁势的选择无关，并使Feynman路径积分由其极限定义的规范不变性能直接得到证明。它还表明，费曼路径积分在相空间定义以上可以表示为费曼路径积分在配置空间中定义的物理学中的熟悉的方式，费曼自己的说明性的形式。
Convergence of a time-slicing approximation is studied in a general way of the Feynman path integral in phase space with an electromagnetic potential. In the present paper a new approximation of the Feynman path integral in phase space, different from the familiar one in physics, is proposed so that its convergence can be shown independently of the choice of electromagnetic potentials and that gauge invariance of the Feynman path integral defined by its limit can be shown directly. It is also shown that the Feynman path integral in phase space defined above can be expressed in the form of the Feynman path integral in configuration space defined in the familiar way in physics, which Feynman himself stated heuristically.