5 citations · 5 across the 3 of their papers we have counts for
3 papers
hep-th2018
Rigorous path integrals for supersymmetric quantum mechanics: completing the path integral proof of the index theorem
Dana S. Fine, Stephen F. Sawin
Many introductory courses in quantum mechanics include Feynman's time-slicing definition of the path integral, with a complete derivation of the propagator in the simplest of cases…
math-ph2016★ 5 cited
Path integrals, SUSY QM and the Atiyah-Singer index theorem for twisted Dirac
Dana Fine, Stephen Sawin
Feynman's time-slicing construction approximates the path integral by a product, determined by a partition of a finite time interval, of approximate propagators. This paper formula…
math-ph2012
A Rigorous Path Integral for N=1 Supersymmetic Quantum Mechanics on a Riemannian Manifold
Dana Fine, Stephen Sawin
Following Feynman's prescription for constructing a path integral representation of the propagator of a quantum theory, a short-time approximation to the propagator for imaginary t…