Fractal Weyl Law for Open Chaotic Maps
Nonnenmacher, Stéphane
HAL, hal-00005509 / Harvested from HAL
Text on HAL
This contribution summarizes our work with M.Zworski on open quantum open chaoticmaps (math-ph/0505034). For a simple chaotic scattering system (the open quantum baker's map), we compute the "long-living resonances" in the semiclassical régime, and show that they satisfy a fractal Weyl law. We can prove this fractal law in the case of a modified model.
Publié le : 2004-09-12
Classification:  quantum chaotic scattering,  resonances,  fractal Weyl law,  35B34, 37D20, 81Q50, 81U05,  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph],  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 
@article{hal-00005509,
     author = {Nonnenmacher, St\'ephane},
     title = {Fractal Weyl Law for Open Chaotic Maps},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00005509}
}

Nonnenmacher, Stéphane. Fractal Weyl Law for Open Chaotic Maps. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00005509/