Generalized infinite-dimensional Fresnel integrals

被引：9
|
作者：
Albeverio, S
Mazzucchi, S
机构：
[1] Inst Angew Math, D-53115 Bonn, Germany
[2] Univ Trent, Dipartimento Matemat, I-38050 Trento, Italy
来源：
COMPTES RENDUS MATHEMATIQUE | 2004年 / 338卷 / 03期
关键词：
D O I：
10.1016/j.crma.2003.11.022
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A generalized infinite dimensional oscillatory integral with a polynomially growing phase function is defined and explicitly computed in terms of an absolutely convergent Gaussian integral. The results are applied to the Feynman path integral representation for the solution of the Schrodinger equation with an anharmonic oscillator potential. (C) 2003 Academie des sciences. Published by Elsevier SAS. All rights reserved.
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页码：255 / 259
页数：5
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