A dominated-type convergence theorem for the Feynman integral

Authors
Johnson, GW Kim, JG
Citation
Gw. Johnson et Jg. Kim, A dominated-type convergence theorem for the Feynman integral, J MATH PHYS, 41(5), 2000, pp. 3104-3112
Citations number
19
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
41
Issue
5
Year of publication
2000
Pages
3104 - 3112
Database
ISI
SICI code
0022-2488(200005)41:5<3104:ADCTFT>2.0.ZU;2-8
Abstract
A dominated-type convergence theorem is proved for the operator-valued Feyn man integral defined via the Trotter product formula. This definition is in timately related to the one of Feynman and the physical setting is the same as in his original paper. The convergence result given here provides the f inal piece of a unifying and rather satisfactory picture of three approache s to the Feynman integral. (C) 2000 American Institute of Physics. [S0022-2 488(00)00505-3].