Quadratic actions, semi-classical approximation, and delta sequences in Gaussian analysis

Authors
Grothaus, M Streit, L
Citation
M. Grothaus et L. Streit, Quadratic actions, semi-classical approximation, and delta sequences in Gaussian analysis, REP MATH PH, 44(3), 1999, pp. 381-405
Citations number
32
Categorie Soggetti
Physics
Journal title
REPORTS ON MATHEMATICAL PHYSICS
ISSN journal
00344877 → ACNP
Volume
44
Issue
3
Year of publication
1999
Pages
381 - 405
Database
ISI
SICI code
0034-4877(199912)44:3<381:QASAAD>2.0.ZU;2-H
Abstract
A mathematically rigorous realization of Feynman integrals is given. The co nstruction works for quadratic actions (there is only a restriction to limi ted time intervals). These techniques enable the calculation of the semi-cl assical approximation for a given Feynman propagator. Finally, delta sequen ces in Gaussian analysis are presented and their connection to semi-classic al approximation is discussed.