14 citations · 46 across the 12 of their papers we have counts for
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quant-ph2002
Supersymmetry and Brownian motion on supermanifolds
Alice Rogers
An anticommuting analogue of Brownian motion, corresponding to fermionic quantum mechanics, is developed, and combined with classical Brownian motion to give a generalised Feynman-…
quant-ph2000★ 1 cited
A Feynman-Kac Formula for Anticommuting Brownian Motion
Steven Leppard, Alice Rogers
Motivated by application to quantum physics, anticommuting analogues of Wiener measure and Brownian motion are constructed. The corresponding Ito integrals are defined and the exis…
quant-ph2000★ 12 cited
Gauss Sums and Quantum Mechanics
Vernon Armitage, Alice Rogers
By adapting Feynman's sum over paths method to a quantum mechanical system whose phase space is a torus, a new proof of the Landsberg-Schaar identity for quadratic Gauss sums is gi…