2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/30099We consider the one-dimensional quantum-statistical problem of interacting spin-less particles in an infinite deep potential valley and on a ring. Several limits for the applicability of the Quantum Monte Carlo (QMC) methods were revealed and discussed. We show the inapplicability of the QMC method for ring-like geometries, realize an unphysical frustration for interacting fermions and a minus-sign problem for interacting bosons.RevTex, 17 pages, 7 figuresStatistical MechanicsStrongly Correlated Electronstext