A perturbation theory of resonances

Shmuel Agmon

Journées équations aux dérivées partielles (1996)

  • Volume: 1996, page 1-11
  • ISSN: 0752-0360

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Agmon, Shmuel. "A perturbation theory of resonances." Journées équations aux dérivées partielles 1996 (1996): 1-11. <http://eudml.org/doc/93327>.

@article{Agmon1996,
author = {Agmon, Shmuel},
journal = {Journées équations aux dérivées partielles},
keywords = {Schrödinger operators; perturbation theory; holomorphic families of operators; resonance problems; eigenvalues; resonance-eigenvalue connection; resolvent},
language = {eng},
pages = {1-11},
publisher = {Ecole polytechnique},
title = {A perturbation theory of resonances},
url = {http://eudml.org/doc/93327},
volume = {1996},
year = {1996},
}

TY - JOUR
AU - Agmon, Shmuel
TI - A perturbation theory of resonances
JO - Journées équations aux dérivées partielles
PY - 1996
PB - Ecole polytechnique
VL - 1996
SP - 1
EP - 11
LA - eng
KW - Schrödinger operators; perturbation theory; holomorphic families of operators; resonance problems; eigenvalues; resonance-eigenvalue connection; resolvent
UR - http://eudml.org/doc/93327
ER -

References

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  1. 1. S. Albeverio and R. Høegh-Krohn, Perturbation of resonances in quantum mechanics, J. Math. Anal. Appl. 101 (1984), 491-513. Zbl0564.35026MR86a:47051
  2. 2. F. Gesztesy, Perturbation theory for resonances in terms of Fredholm determinants, Resonances-Models and Phenomena (S. Albeverio, L. S. Ferreira and L. Streit eds.) Springer-Verlag, Berlin, Lecture Notes in Physics 211 (1984), 78-104. MR86f:81145
  3. 3. J. S. Howland, Puiseux series for resonances at an embedded eigenvalue, Pac. J. Math. 55 (1974), 157-176. Zbl0312.47010MR54 #5871
  4. 4. T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag, Berlin-Heidelbeg- New York, 1976. Zbl0342.47009MR53 #11389
  5. 5. M. Zworski, Counting scattering poles, Spectral and Scattering Theory (M. Ikawa, ed.), Marcel Dekker, Inc., Lecture Notes in Pure and Applied Mathematics 161 (1994), 301-331. Zbl0823.35139MR95i:35210

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