A Path-Integral Approach to the Cameron-Martin-Maruyama-Girsanov Formula Associated to a Bilaplacian
Author
Source
Journal of Function Spaces and Applications
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-26
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We define the Wiener product on a bosonic Connes space associated to a Bilaplacian and we introduce formal Wiener chaos on the path space.
We consider the vacuum distribution on the bosonic Connes space and show that it is related to the heat semigroup associated to the Bilaplacian.
We deduce a Cameron-Martin quasi-invariance formula for the heat semigroup associated to the Bilaplacian by using some convenient coherent vector.
This paper enters under the Hida-Streit approach of path integral.
American Psychological Association (APA)
Leandre, Remi. 2012. A Path-Integral Approach to the Cameron-Martin-Maruyama-Girsanov Formula Associated to a Bilaplacian. Journal of Function Spaces and Applications،Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-473156
Modern Language Association (MLA)
Leandre, Remi. A Path-Integral Approach to the Cameron-Martin-Maruyama-Girsanov Formula Associated to a Bilaplacian. Journal of Function Spaces and Applications No. 2012 (2012), pp.1-9.
https://search.emarefa.net/detail/BIM-473156
American Medical Association (AMA)
Leandre, Remi. A Path-Integral Approach to the Cameron-Martin-Maruyama-Girsanov Formula Associated to a Bilaplacian. Journal of Function Spaces and Applications. 2012. Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-473156
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473156