Phase space path integral on torus for the fundamental solution of higher-order parabolic equations

被引：1

作者：

Kumano-go, Naoto ^{[1
]}

Uchida, Keiya ^{[1
]}

机构：

[1] Kogakuin Univ, Dept Informat, 2665-1 Nakanomachi, Hachioji, Tokyo 1920015, Japan

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2020年 / 11卷 / 03期

关键词：

Path integral; Pseudo-differential operator; Parabolic equation;

D O I：

10.1007/s11868-020-00341-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a rigorous formulation of phase space path integrals on the torus Td=(R/2 pi Z)d for fundamental solutions of higher-order parabolic equations. Especially, by using the pseudo-differential operators on the torus, we prove that the time slicing approximation of the phase space path integral converges on compact subsets of T-d x R-d.

引用

页码：1059 / 1083

页数：25

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