2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/93448The well-known supersymmetric constructions such as Witten's supersymmetric quantum mechanics, Spiridonov-Rubakov parasupersymmetric quantum mechanics, and higher-derivative SUSY of Andrianov et al. are extended to the nonstationary Schrödinger equation. All these constructions are based on the time-dependent Darboux transformation. The superalgebra over the conventional Lie algebra is constructed. Examples of time-dependent exactly solvable potentials are given.Talk given at the 7-th Lomonosov Conference "Problems of Fundamental Physics", 24-30 August, 1995, see proceedings book (with the minor corrections) Moscow, 1997, p. 54-61Quantum Physicstext