About poles of the resolvent, in a model for a harmonic oscillator coupled with massless scalar bosons

C. Billionnet

Annales de l'I.H.P. Physique théorique (1998)

  • Volume: 68, Issue: 1, page 1-16
  • ISSN: 0246-0211

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Billionnet, C.. "About poles of the resolvent, in a model for a harmonic oscillator coupled with massless scalar bosons." Annales de l'I.H.P. Physique théorique 68.1 (1998): 1-16. <http://eudml.org/doc/76779>.

@article{Billionnet1998,
author = {Billionnet, C.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {coupling; bosons; harmonic oscillator; splitting},
language = {eng},
number = {1},
pages = {1-16},
publisher = {Gauthier-Villars},
title = {About poles of the resolvent, in a model for a harmonic oscillator coupled with massless scalar bosons},
url = {http://eudml.org/doc/76779},
volume = {68},
year = {1998},
}

TY - JOUR
AU - Billionnet, C.
TI - About poles of the resolvent, in a model for a harmonic oscillator coupled with massless scalar bosons
JO - Annales de l'I.H.P. Physique théorique
PY - 1998
PB - Gauthier-Villars
VL - 68
IS - 1
SP - 1
EP - 16
LA - eng
KW - coupling; bosons; harmonic oscillator; splitting
UR - http://eudml.org/doc/76779
ER -

References

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  1. [1] K.O. Friedrichs, Comm. Pure Appl. Math., Vol. 1, 1948, pp. 361-406. Zbl0031.31204
  2. [2] F.H. Brownell, Pseudo-eigenvalues, Perturbation Theory and the Lamb shift Computation, in Perturbation Theory and its Applications in Quantum mechanics, Madison, 1965, ed. by C. Wilcox, Wiley, New York, 1966, pp. 393-423. MR207319
  3. [3] A. Arai, J.Math.Phys., Vol. 22, 1981, pp. 2539-2548. Zbl0473.46050MR640665
  4. [4] A. Arai, J.Math.Phys., Vol. 22, (1981), pp. 2549-2552. Zbl0473.46051
  5. [5] C. Cohen-Tannoudji, J. Dupont-Roc and G. Gpynberg, Processus d'Interaction entre Photons et Atomes, Interéditions/Editions du C.N.R.S. Paris, 1988; english translation: J. Wiley. New York, 1992. 
  6. [6] V. Bach, J. Fröhlich and I.M. Sigal, Lett. Math. Phys., Vol. 34, 1995, pp. 183-201. Zbl0831.47048MR1345551
  7. [7] C. Billionnet, J. Phys. I France, Vol. 5, 1995, pp. 949-961. 

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