A Rigorous Real Time Feynman Path Integral
Abstract
Using improper Riemann integrals, we will formulate a rigorous version of the realtime, timesliced Feynman path integral for the $L^2$ transition probability amplitude. We will do this for nonvector potential Hamiltonians with potential which has at most a finite number of discontinuities and singularities. We will also provide a Nonstandard Analysis version of our formulation.
 Publication:

arXiv eprints
 Pub Date:
 December 2000
 arXiv:
 arXiv:mathph/0012014
 Bibcode:
 2000math.ph..12014L
 Keywords:

 Mathematical Physics
 EPrint:
 JMP Vol. 40 NO. 1, Jan, 1999 6470