The 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
Schr\"odinger 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.Comment: 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. 54-6
