Search results for: QUANTUM CHAOS

• Crystallization of space: Space-time fractals from fractal arithmetic

  Publication

  • D. Aerts
  • M. Czachor
  • M. Kuna

  - CHAOS SOLITONS & FRACTALS - Year 2016

  Fractals such as the Cantor set can be equipped with intrinsic arithmetic operations (addition, subtraction, multiplication, division) that map the fractal into itself. The arithmetics allows one to define calculus and algebra intrinsic to the fractal in question, and one can formulate classical and quantum physics within the fractal set. In particular, fractals in space-time can be generated by means of homogeneous spaces associated...

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• Statistical properties of a modified standard map in quantum and classical regimes

  Publication

  • P. Pepłowski
  • P. Weber

  - NONLINEAR DYNAMICS - Year 2019

  We present a model—a modified standard map. This model has interesting properties that allow quantum–classical correspondences to be studied. For some range of parameters in the classical phase space of this model, there exist large accelerator modes. We can create a family of maps that have large accelerator modes.

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