Scattering phases and density of states for exterior domains

J.-P. Eckmann; C.-A. Pillet

Annales de l'I.H.P. Physique théorique (1995)

  • Volume: 62, Issue: 4, page 383-399
  • ISSN: 0246-0211

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Eckmann, J.-P., and Pillet, C.-A.. "Scattering phases and density of states for exterior domains." Annales de l'I.H.P. Physique théorique 62.4 (1995): 383-399. <http://eudml.org/doc/76680>.

@article{Eckmann1995,
author = {Eckmann, J.-P., Pillet, C.-A.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Dirichlet Laplacian; -matrix; total scattering phase; - function; Krein spectral formula},
language = {eng},
number = {4},
pages = {383-399},
publisher = {Gauthier-Villars},
title = {Scattering phases and density of states for exterior domains},
url = {http://eudml.org/doc/76680},
volume = {62},
year = {1995},
}

TY - JOUR
AU - Eckmann, J.-P.
AU - Pillet, C.-A.
TI - Scattering phases and density of states for exterior domains
JO - Annales de l'I.H.P. Physique théorique
PY - 1995
PB - Gauthier-Villars
VL - 62
IS - 4
SP - 383
EP - 399
LA - eng
KW - Dirichlet Laplacian; -matrix; total scattering phase; - function; Krein spectral formula
UR - http://eudml.org/doc/76680
ER -

References

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  1. [AS] M. Abramowitz and I. Stegun, Handbook of Mathematical Functions, New York, Dover, 1965. 
  2. [BS] M.Sh. Birman and M.Z. Solomjak, Spectral Theory of Selfadjoint Operators in Hilbert Space, Dordrecht, Reidel, 1987. Zbl0744.47017
  3. [DS] E. Doron and U. Smilansky, Semiclassical quantization of billards-a scattering approach. Nonlinearity, 1992, pp. 1055-1084. Zbl0770.58043MR1187738
  4. [EP] J.-P. Eckmann and C.-A. Pillet, Spectral duality for planar billiards, Commun. Math. Phys. (to appear). Zbl0834.35096MR1334397
  5. [JK] A. Jensen and T. Kato, Asymptotic behaviour of the scattering phase for exterior domains, Comm. Part. Diff. Equ., Vol. 3, 1978, pp. 1165-1195. Zbl0419.35067MR512084
  6. [MR] A. Majda and J. Ralston, An analogue of Weyl's formula for unbounded domains III. An epilogue, Duke Math. J., Vol. 46, 1979, pp. 725-731. Zbl0433.35055MR552522
  7. [M] R. Melrose, Weyl asymptotics for the phase in obstacle scattering, Comm. Part. Diff. Equ., Vol. 13, 1988, pp. 1431-1439. Zbl0686.35089MR956828
  8. [S] A.W. Sobolev, Efficient bounds for the spectral phase shift, Ann. Inst. Henri-Poincaré, Vol. 58, 1993, pp. 55-83. Zbl0813.47006MR1208792
  9. [U] I. Ussishkin, Private communication. 
  10. [Y] D.R. Yafaev, Mathematical Scattering Theory, Providence, Rhode Island, AMS, 1992. Zbl0761.47001MR1180965

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