A Rigorous Real Time Feynman Path Integral

2000/12/08 by Ken Loo
Physics and Astronomy · Mathematics · #math-ph #math.MP

paper · pdf

published as JMP Vol. 40 NO. 1, Jan, 1999 64-70

arxiv created 2000/12/08 · arxiv updated 2009/11/30

Abstract

Using improper Riemann integrals, we will formulate a rigorous version of the real-time, time-sliced Feynman path integral for the L² 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.

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