2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/113047In this article, we show that the exact two-body problem can be replaced by quantum jumps between densities written as $D=| Ψ_a \right> \left< Ψ_b |$ where $| Ψ_a \right>$ and $| Ψ_b \right>$ are vacuum for different quasi-particles operators. It is shown that the stochastic process can be written as a Stochastic Time-Dependent Hartree-Fock Bogoliubov theory (Stochastic TDHFB) for the generalized density ${\cal R}$ associated to $D$ where ${\cal R}^2 = {\cal R}$ along each stochastic trajectory.5 pagesNuclear TheoryMesoscale and Nanoscale PhysicsQuantum Physicstext