2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98514By making use of the Langevin equation with a kernel, it was shown that the Feynman measure exp(-S) can be realized in a restricted sense in a diffusive stochastic process, which diverges and has no equilibrium, for bottomless systems. In this paper, the dependence on the initial conditions and the temporal behavior are analyzed for 0-dim bottomless systems. Furthermore, it is shown that it is possible to find stationary quantities.LaTeX2e, 10 pages with 4 eps figures, to be published in Prog. Theor. Phys. 102; revised page layoutHigh Energy Physics - TheoryQuantum Physicstext