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Continuous and discrete frames generated by the evolution flow of the Schrödinger equation

by G. S. Alberti and S. Dahlke and F. De Mari and E. De Vito and S. Vigogna

(Report number 2015-29)

Abstract
We study a family of coherent states, called Schrödingerlets, both in the continuous and discrete setting. They are defined in terms of the Schrödinger equation of a free quantum particle and some of its invariant transformations.

Keywords: Schrödinger equation, unitary representations, frames, wavelets, Schrödingerlets, coherent states, reproducing formulae.

@Techreport{ADDDV15_619,
  author = {G. S. Alberti and S. Dahlke and F. De Mari and E. De Vito and S. Vigogna},
  title = {Continuous and discrete frames generated by the evolution flow of the Schr\"odinger equation},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2015-29},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2015/2015-29.pdf },
  year = {2015}
}

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