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In this paper we show how the transposition, the basic operation of thepermutation group, can be taken into account in a diffusion process ofidentical particles. Whereas in an earlier approach the method was applied tosystems in which the potential is invariant under interchanging the Cartesiancomponents of the particle coordinates, this condition on the potential isavoided here. In general, the potential introduces a switching of the boundaryconditions of the walkers. These transitions modelled by a continuous-timeMarkov chain generate sample paths for the propagator as a Feynman-Kacfunctional. A few examples, including harmonic fermions with an anharmonicinteraction, and the ground-state energy of ortho-helium are studied toelucidate the theoretical discussion and to illustrate the feasibility of asign-problem-free implementation scheme for the recently developed many-bodydiffusion approach.Comment: 16 pages REVTEX + 6 postscript figures, submitted to Phys. Rev. E on  Jan. 27, 199

SWITCHING BOUNDARY CONDITIONS IN THE MANY-BODY DIFFUSION ALGORITHM