KMS Of Academy of mathematics and systems sciences, CAS
A complex scaling approach to sequential Feynman integrals | |
Luo, SL; Yan, JA | |
1999-02-01 | |
发表期刊 | STOCHASTIC PROCESSES AND THEIR APPLICATIONS |
ISSN | 0304-4149 |
卷号 | 79期号:2页码:287-300 |
摘要 | Let (H, B, mu) be an abstract Wiener space. Let P be the set of all finite-dimensional orthogonal projections in H and for P is an element of P denote by Gamma(P) the second quantization of P. It is shown that for phi is an element of boolean AND(p>1) L-p(B, mu) and z is an element of C+ = {z is an element of C: Re z > 0}, the z(-1/2)-scaling sigma(z-1/2)Gamma(P)phi of Gamma(P)phi is well defined as an element of a distribution space over (H, B, mu). By means of this scaling, we define the sequential Feynman integral as limn-->infinity [[sigma(zn-1/2)Gamma(P-n)phi, 1]] if the latter exists and has a common limit for all z(n) --> i, z(n) is an element of C+, P-n --> I, P-n is an element of P. It turns out that the Fresnel integrals of Albeverio and Hoegh-Krohn coincide with this sequential Feynman integrals. The proof of a Cameron-Martin-type formula for Feynman integrals is much simplified and transparent. (C) 1999 Elsevier Science B.V. All rights reserved. |
关键词 | analytic Feynman integrals Cameron-Martin-type formula complex scaling Feynman-Wiener integrals Fresnel integrals sequential Feynman integrals trace |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Statistics & Probability |
WOS记录号 | WOS:000078561000007 |
出版者 | ELSEVIER SCIENCE BV |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/14760 |
专题 | 应用数学研究所 |
通讯作者 | Luo, SL |
作者单位 | Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Luo, SL,Yan, JA. A complex scaling approach to sequential Feynman integrals[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS,1999,79(2):287-300. |
APA | Luo, SL,&Yan, JA.(1999).A complex scaling approach to sequential Feynman integrals.STOCHASTIC PROCESSES AND THEIR APPLICATIONS,79(2),287-300. |
MLA | Luo, SL,et al."A complex scaling approach to sequential Feynman integrals".STOCHASTIC PROCESSES AND THEIR APPLICATIONS 79.2(1999):287-300. |
条目包含的文件 | 条目无相关文件。 |
个性服务 |
推荐该条目 |
保存到收藏夹 |
查看访问统计 |
导出为Endnote文件 |
谷歌学术 |
谷歌学术中相似的文章 |
[Luo, SL]的文章 |
[Yan, JA]的文章 |
百度学术 |
百度学术中相似的文章 |
[Luo, SL]的文章 |
[Yan, JA]的文章 |
必应学术 |
必应学术中相似的文章 |
[Luo, SL]的文章 |
[Yan, JA]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论