Symmetries of the Schrödinger Equation and Algebra / Superalgebra Duality

  title={Symmetries of the Schr{\"o}dinger Equation and Algebra / Superalgebra Duality},
  author={Francesco Toppan},
  • Francesco Toppan
  • Published 2014
Some key features of the symmetries of the Schrödinger equation that are common to a much broader class of dynamical systems (some under construction) are illustrated. I discuss the algebra/superalgebra duality involving first and second-order differential operators. It provides different viewpoints for the spectrum-generating subalgebras. The representationdependent notion of on-shell symmetry is introduced. The difference in associating the timederivative symmetry operator with either a root… CONTINUE READING

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