Asymptotic Principal Values and Regularization Methods for Correlation Functions with Reflective Boundary Conditions
Author
Source
Advances in Optical Technologies
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-04-13
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Engineering Sciences and Information Technology
Abstract EN
We introduce a concept of asymptotic principal values which enables us to handle rigorously singular integrals of higher-order poles encountered in the computation of various quantities based on correlation functions of a vacuum.
Several theorems on asymptotic principal values are proved, and they are expected to become bases for investigating and developing some classes of regularization methods for singular integrals.
We make use of these theorems for analyzing mutual relations between some regularization methods, including a method naturally derived from asymptotic principal values.
It turns out that the concept of asymptotic principal values and the theorems for them are quite useful in this type of analysis, providing a suitable language to describe what is discarded and what is retained in each regularization method.
American Psychological Association (APA)
Seriu, Masafumi. 2010. Asymptotic Principal Values and Regularization Methods for Correlation Functions with Reflective Boundary Conditions. Advances in Optical Technologies،Vol. 2010, no. 2010, pp.1-7.
https://search.emarefa.net/detail/BIM-499081
Modern Language Association (MLA)
Seriu, Masafumi. Asymptotic Principal Values and Regularization Methods for Correlation Functions with Reflective Boundary Conditions. Advances in Optical Technologies No. 2010 (2010), pp.1-7.
https://search.emarefa.net/detail/BIM-499081
American Medical Association (AMA)
Seriu, Masafumi. Asymptotic Principal Values and Regularization Methods for Correlation Functions with Reflective Boundary Conditions. Advances in Optical Technologies. 2010. Vol. 2010, no. 2010, pp.1-7.
https://search.emarefa.net/detail/BIM-499081
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499081