Time-dependent harmonic oscillators and SUSY in time domain

Sergio A. Hojman, Héctor M. Moya-Cessa, Francisco Soto-Eguibar, Felipe A. Asenjo

Research output: Contribution to journalArticlepeer-review


We show that the time-dependent harmonic oscillator has a repulsive or inverted oscillator as a time domain SUSY-like partner. Examples of several kinds of super-symmetrical time dependent frequency systems are presented.

Original languageEnglish
Article number125218
JournalPhysica Scripta
Issue number12
StatePublished - Dec 2021


  • Bohm potential
  • Ermakov-lewis invariant
  • time dependent harmonic oscillator
  • time domain super-symmetry


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