Hausdorff dimension for the quantum harmonic oscillator

@article{CampesinoRomeo1982HausdorffDF,
  title={Hausdorff dimension for the quantum harmonic oscillator},
  author={E. Campesino-Romeo and J. D'Olivo and M. Socolovsky},
  journal={Physics Letters A},
  year={1982},
  volume={89},
  pages={321-324}
}
Abstract We show that the measured path of a nonrelativistic quantum particle in a harmonic oscillator potential is a fractal curve with Hausdorff dimension equal to two. 
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