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The decay law can have an irregular character

Pavel Exner Martin Fraas

TBD mathscidoc:1910.43107

Journal of Physics A: Mathematical and Theoretical, 40, (6), 1333, 2007.1
Within a well-known decay model describing a particle confined initially within a spherical potential shell, we consider the situation when the initial state has an unusual energy distribution decaying slowly as k; the simplest example corresponds to a wavefunction constant within the shell. We show that the non-decay probability as a function of time then behaves in a highly irregular, most likely fractal way.
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@inproceedings{pavel2007the,
  title={The decay law can have an irregular character},
  author={Pavel Exner, and Martin Fraas},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020130100952338636},
  booktitle={Journal of Physics A: Mathematical and Theoretical},
  volume={40},
  number={6},
  pages={1333},
  year={2007},
}
Pavel Exner, and Martin Fraas. The decay law can have an irregular character. 2007. Vol. 40. In Journal of Physics A: Mathematical and Theoretical. pp.1333. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020130100952338636.
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