Bounds on resolvents of dilated Schrödinger operators with non trapping potentials

Pierre Duclos; Markus Klein

Journées équations aux dérivées partielles (1985)

  • Issue: 1, page 1-7
  • ISSN: 0752-0360

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Duclos, Pierre, and Klein, Markus. "Bounds on resolvents of dilated Schrödinger operators with non trapping potentials." Journées équations aux dérivées partielles (1985): 1-7. <http://eudml.org/doc/93116>.

@article{Duclos1985,
author = {Duclos, Pierre, Klein, Markus},
journal = {Journées équations aux dérivées partielles},
keywords = {bounds; resolvent; dilated Schrödinger operators; exterior complex scaling; resonance},
language = {eng},
number = {1},
pages = {1-7},
publisher = {Ecole polytechnique},
title = {Bounds on resolvents of dilated Schrödinger operators with non trapping potentials},
url = {http://eudml.org/doc/93116},
year = {1985},
}

TY - JOUR
AU - Duclos, Pierre
AU - Klein, Markus
TI - Bounds on resolvents of dilated Schrödinger operators with non trapping potentials
JO - Journées équations aux dérivées partielles
PY - 1985
PB - Ecole polytechnique
IS - 1
SP - 1
EP - 7
LA - eng
KW - bounds; resolvent; dilated Schrödinger operators; exterior complex scaling; resonance
UR - http://eudml.org/doc/93116
ER -

References

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  1. [AC] J. AGUILAR, J.M. COMBES : A Class of Analytic Perturbation for One-body Schrödinger Hamiltonians. Comm. Math. Phys. 22 269-279 (1971). Zbl0219.47011MR49 #10287
  2. [CDKS] J.M. COMBES, P. DUCLOS, M. KLEIN and R. SEILER : On the shape resonance in the classical limit. To appear. 
  3. [CDS1] J.M. COMBES, P. DUCLOS, R. SEILER : Convergent Expansions for Tunneling. Comm. Math. Phys. 92, 229-245 (1983). Zbl0579.47050MR85m:81039
  4. [CDS2] J.M. COMBES, P. DUCLOS, R. SEILER : On the shape Resonance in " Resonances-Models and Phenomena ", Springer Lecture notes in Physics, 211, 64 (1984) MR86e:81122
  5. J.M. COMBES, P. DUCLOS, R. SEILER : Resonances and scattering in the classical limit. Proceedings of " Méthode semi-classique en Mécanique Quantique ". Publication de l'université de Nantes (1985). 
  6. [CDS3] J.M. COMBES, P. DUCLOS, R. SEILER : One dimensional shape resonances. CPT-85/P. ?. To appear. 
  7. [DK] P. DUCLOS, M. KLEIN : On the absence of resonances for some Schrödinger in the classical limit. Preprint CPT-85/P. ?. To appear. 
  8. [GY] S. GRAFFI, K. YAJIMA : Exterior scaling and the AC-stark effect in a Coulomb Field. Comm. Math. Phys. 89, 277-301 (1983) Zbl0522.35085MR85g:35096
  9. [K] T. KATO : Perturbation theory for linear operators. Berlin-Heidelberg-New York : Springer 66. Zbl0148.12601
  10. [M] E. MOURRE : Absence of Singular Continuous Spectrum for certain Self-Adjoint Operators. Comm. Math. Phys. 78, 391-408 (1981). Zbl0489.47010MR82c:47030
  11. [S] B. SIMON : The definition of Molecular Resonances Curves by the Method of Exterior Complex Scaling. Phys. Letters 71A, 211-214 (1979). 

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