1997/09/18 by Vladislav G. Bagrov, В. Г. Багров, Bagrov, Vladislav G. +3
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/9709040
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. 54-61
arxiv created 1997/09/18 · openalex publication_date 1997/09/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 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.