THE FEYNMAN INTEGRAND AS A HIDA DISTRIBUTION

被引：45

作者：

DEFARIA, M

POTTHOFF, J

STREIT, L

机构：

[1] LOUISIANA STATE UNIV,DEPT MATH,BATON ROUGE,LA 70803

[2] UNIV BIELEFELD,FAK PHYS,W-4800 BIELEFELD,GERMANY

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1991年 / 32卷 / 08期

关键词：

D O I：

10.1063/1.529184

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that Feynman integrals are weighted averages over Brownian paths, with suitable Hida distributions as (complex) weights. For simple cases, the construction of these distributions is performed explicitly, for a much larger class of interactions, their existence is shown.

引用

页码：2123 / 2127

页数：5

共 15 条

[1]

ALBEVEIRO S, 1976, LECTURE NOTES MATH, V523

[2]

Albeverio S., 1989, Reviews in Mathematical Physics, V1, P291, DOI 10.1142/S0129055X89000134

[3] THE VACUUM OF THE HOEGH-KROHN MODEL AS A GENERALIZED WHITE NOISE FUNCTIONAL [J].

ALBEVERIO, S ;

HIDA, T ;

POTTHOFF, J ;

STREIT, L .

PHYSICS LETTERS B, 1989, 217 (04) :511-514

[4]

ALBEVERIO S, 1990, BIBOS430 PREPR

[5] APPLICATIONS OF WHITE NOISE CALCULUS TO THE COMPUTATION OF FEYNMAN-INTEGRALS [J].

DEFALCO, D ;

KHANDEKAR, DC .

STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1988, 29 (02) :257-266

[6]

Hida T., 1980, BROWNIAN MOTION

[7]

KHANDEKAR DC, 1986, PHYS REP, V137, P3

[8]

KHANDEKAR DC, 1986, PHYS REP, V137, P2

[9]

KHANDEKAR DC, 1990, WHITEH NOISE ANAL MA

[10]

Lukacs E., 1970, CHARACTERISTIC FUNCT

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