Schrödinger type equation associated with the Lévy and Volterra Laplacians
Schrödinger type equation associated with the Lévy and Volterra Laplacians
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与 Lévy 和 Volterra 拉普拉斯相关的薛定谔型方程
DOI：
10.31390/cosa.1.3.06
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
K. Sakabe
中科院分区：
文献类型：
--
作者：
K. Sakabe
本文讨论了白色噪声分析在场理论中费曼路径积分中的应用。通过引入简正坐标，将系统描述为一组相互独立的谐振子，利用白色噪声泛函计算了费曼路径积分。此外，通过引入新的积分重整化，我们给出了一个与Land-沃尔泰拉-拉普拉斯算子相关联的Inflnite维Schrodinger型方程.
In this paper, we discuss the application of white noise analysis to the Feynman path integral in the fleld theory. By introducing normal coordinates which permit us to describe the system as a set of independent harmonic oscillators, we calculate the Feynman path integral using white noise functionals. Moreover, we give an inflnite dimensional Schrodinger type equation associated with the Land Volterra Laplacians by introducing new renormalizations of the integral.