Time Dependent Supersymmetry in Quantum Mechanics

Details Time Dependent Supersymmetry in Quantum Mechanics Time Dependent Supersymmetry in Quantum Mechanics

1997-09-18

arxiv.org/abs/quant-ph/9709040v1

Physics

Quantum Physics

Talk given at the 7-th Lomonosov Conference "Problems of Fundamental Physics", 24-30 August, 1995, see proceedings book (with

Scientific paper

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.

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