Nonstandard Feynman path integral for the harmonic oscillator

Details Nonstandard Feynman path integral for the harmonic oscillator Nonstandard Feynman path integral for the harmonic oscillator

2000-12-08

arxiv.org/abs/math-ph/0012015v1

JMP Vol. 40, NO. 11, NOV. 1999, 5511 - 5521

Physics

Mathematical Physics

Scientific paper

we will provide a rigorous computation for the harmonic oscillator Feynman
path integral. The computation will be done without having prior knowledge of
the classical path. We will see that properties of classical physics falls out
naturally from a purely quantum mechanical point of view. We will assume that
the reader is familiar with Nonstandard Analysis.

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