Weyl Laws for Partially Open Quantum Maps

@article{Schenck2008WeylLF,
  title={Weyl Laws for Partially Open Quantum Maps},
  author={Emmanuel Schenck},
  journal={Annales Henri Poincar{\'e}},
  year={2008},
  volume={10},
  pages={711-747}
}
  • E. Schenck
  • Published 19 November 2008
  • Physics
  • Annales Henri Poincaré
Abstract.We study a toy model for “partially open” wave-mechanical system, like for instance a dielectric micro-cavity, in the semiclassical limit where ray dynamics is applicable. Our model is a quantized map on the 2-dimensional torus, with an additional damping at each time step, resulting in a subunitary propagator, or “damped quantum map”. We obtain analogues of Weyl’s laws for such maps in the semiclassical limit, and draw some more precise estimates when the classical dynamics is chaotic… 
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10 Citations
Background Citations
5
Methods Citations
1

10 Citations

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24 References

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