Quantum decay rates in chaotic scattering

Stéphane Nonnenmacher[1]; Maciej Zworski[2]

  • [1] Service de Physique Théorique, CEA/DSM/PhT, Unité de recherche associé CNRS, CEA/Saclay, 91191 Gif-sur-Yvette, France
  • [2] Mathematics Department, University of California Evans Hall, Berkeley, CA 94720, USA

Séminaire Équations aux dérivées partielles (2005-2006)

  • Volume: 203, Issue: 2, page 1-6

How to cite

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Nonnenmacher, Stéphane, and Zworski, Maciej. "Quantum decay rates in chaotic scattering." Séminaire Équations aux dérivées partielles 203.2 (2005-2006): 1-6. <http://eudml.org/doc/11135>.

@article{Nonnenmacher2005-2006,
affiliation = {Service de Physique Théorique, CEA/DSM/PhT, Unité de recherche associé CNRS, CEA/Saclay, 91191 Gif-sur-Yvette, France; Mathematics Department, University of California Evans Hall, Berkeley, CA 94720, USA},
author = {Nonnenmacher, Stéphane, Zworski, Maciej},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {hyperbolic flow; scattering; resonances; topological pressure},
language = {eng},
number = {2},
pages = {1-6},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Quantum decay rates in chaotic scattering},
url = {http://eudml.org/doc/11135},
volume = {203},
year = {2005-2006},
}

TY - JOUR
AU - Nonnenmacher, Stéphane
AU - Zworski, Maciej
TI - Quantum decay rates in chaotic scattering
JO - Séminaire Équations aux dérivées partielles
PY - 2005-2006
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 203
IS - 2
SP - 1
EP - 6
LA - eng
KW - hyperbolic flow; scattering; resonances; topological pressure
UR - http://eudml.org/doc/11135
ER -

References

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  3. R. Bowen and D. Ruelle, The ergodic theory of Axiom A flows, Invent. math. 29 (1975), 181–202 Zbl0311.58010MR380889
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  12. F. Naud, Classical and Quantum lifetimes on some non-compact Riemann surfaces, Journal of Physics A, 38(2005), 10721-10729. Zbl1082.81026MR2197679
  13. S. Nonnenmacher and M. Zworski, Distribution of resonances for open quantum maps, preprint 2005, math-ph/0505034, Fractal Weyl laws in discrete models of chaotic scattering, Journal of Physics A, 38(2005), 10683-10702. Zbl1082.81079MR2197677
  14. S. Nonnenmacher and M. Zworski, Lower bounds for quantum decay rates in chaotic scattering, in preparation. Zbl1226.35061
  15. Ya. B. Pesin and V. Sadovskaya, Multifractal Analysis of Conformal Axiom A Flows, Comm. Math. Phys. 216(2001), 277-312. Zbl0992.37023MR1814848
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  17. J. Sjöstrand, Geometric bounds on the density of resonances for semiclassical problems, Duke Math. J., 60(1990), 1–57 Zbl0702.35188MR1047116
  18. J. Sjöstrand and M. Zworski, Fractal upper bounds on the density of semiclassical resonances,http://math.berkeley.edu/~zworski/sz10.ps.gz, to appear in Duke Math. J. Zbl1201.35189MR2309150
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  20. A. Wirzba, Quantum Mechanics and Semiclassics of Hyperbolic n-Disk Scattering Systems, Physics Reports 309 (1999) 1-116 MR1671688

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