Feynman path integrals and the corresponding method of stationary phase

2008 ◽  
pp. 3-57 ◽  
Author(s):  
S. Albeverio ◽  
R. Hoegh-Krohn
Keyword(s):  
Stationary Phase ◽  
Path Integrals ◽  
Feynman Path ◽  
Method Of Stationary Phase ◽  
Feynman Path Integrals

scholarly journals The stationary phase method with an estimate of the remainder term on a space of large dimension

1991 ◽  
Vol 124 ◽  
pp. 61-97 ◽  
Author(s):  
Daisuke Fujiwara
Keyword(s):  
Stationary Phase ◽  
Remainder Term ◽  
Present Note ◽  
Path Integrals ◽  
Large Dimension ◽  
Phase Method ◽  
Stationary Phase Method ◽  
Feynman Path ◽  
Know How ◽  
Feynman Path Integrals

In discussing convergence of Feynman path integrals [2], we need a stationary phase method of oscillatory integrals over a space of large dimension. More precisely, we have to know how the remainder term behaves when the dimension of the space goes to ∞ (cf. [2], [3] and [5]). The aim of the present note is to give answer to this question under rather mild assumptions. Application to the Feynman path integrals is discussed in [3] and [5].

Generalized measure in Feynman path integrals

1976 ◽  
Vol 28 (3) ◽  
pp. 793-805 ◽  
Author(s):  
V. P. Maslov ◽  
A. M. Chebotarev
Keyword(s):  
Path Integrals ◽  
Feynman Path ◽  
Feynman Path Integrals
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