A Bohmian approach to quantum fractals

@article{Sanz2005ABA,
  title={A Bohmian approach to quantum fractals},
  author={{\'A}ngel S. Sanz},
  journal={Journal of Physics A},
  year={2005},
  volume={38},
  pages={6037-6049}
}
  • Á. S. Sanz
  • Published 7 December 2004
  • Physics
  • Journal of Physics A
A quantum fractal is a wavefunction with a real and an imaginary part continuous everywhere, but differentiable nowhere. This lack of differentiability has been used as an argument to deny the general validity of Bohmian mechanics (and other trajectory-based approaches) in providing a complete interpretation of quantum mechanics. Here, this assertion is overcome by means of a formal extension of Bohmian mechanics based on a limiting approach. Within this novel formulation, the particle dynamics… 

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