Generalization of Euler's summation formula to path integrals

被引：21

作者：

Bogojevic, A ^{[1
]}

Balaz, A ^{[1
]}

Belic, A ^{[1
]}

机构：

[1] Inst Phys, Comp Sci Lab, Belgrade 11001, Serbia Monteneg

来源：

PHYSICS LETTERS A | 2005年 / 344卷 / 2-4期

关键词：

path integral; quantum theory; effective action;

D O I：

10.1016/j.physleta.2005.06.053

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A recently developed analytical method for systematic improvement of the convergence of path integrals is used to derive a generalization of Euler's summation formula for path integrals. The first p terms in this formula improve convergence of path integrals to the continuum limit from 1/N to 1/N-P, where N is the coarseness of the discretization. Monte Carlo simulations performed on several different models show that the analytically derived speedup holds. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：84 / 90

页数：7

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