Complex Measures on Path Space: An Introduction to the Feynman Integral Applied to the Schro¨dinger Equation

Kolokoltsov Vassili ()
Additional contact information
Kolokoltsov Vassili: Nottingham Trent University

Methodology and Computing in Applied Probability, 1999, vol. 1, issue 3, 349-365

Abstract: Abstract A simple general approach to the construction of measures on path space is developed. It is used for the path integral representation of evolutionary equations including Feller processes, the Schro¨dinger equation, and dissipative Schro¨dinger equations. At the end of the paper we give a short guide to the immense literature on path integration sketching the main known approaches to the construction of the Feynman integral and indicating possible generalizations.

Keywords: measures on path spaces; Feynman integral; infinitely divisible distributions; Schro¨dinger equation; complex Markov processes and Dirichlet forms (search for similar items in EconPapers)
Date: 1999
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1023/A:1010094613844 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:metcap:v:1:y:1999:i:3:d:10.1023_a:1010094613844

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/11009

DOI: 10.1023/A:1010094613844

Access Statistics for this article

Methodology and Computing in Applied Probability is currently edited by Joseph Glaz

More articles in Methodology and Computing in Applied Probability from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().