About the adiabatic stability of resonant states

Pierre Lochak

Annales de l'I.H.P. Physique théorique (1983)

  • Volume: 39, Issue: 2, page 119-143
  • ISSN: 0246-0211

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Lochak, Pierre. "About the adiabatic stability of resonant states." Annales de l'I.H.P. Physique théorique 39.2 (1983): 119-143. <http://eudml.org/doc/76213>.

@article{Lochak1983,
author = {Lochak, Pierre},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {adiabatic theorem of quantum mechanics; resonance; resonant states; accretive; semigroup of operators},
language = {eng},
number = {2},
pages = {119-143},
publisher = {Gauthier-Villars},
title = {About the adiabatic stability of resonant states},
url = {http://eudml.org/doc/76213},
volume = {39},
year = {1983},
}

TY - JOUR
AU - Lochak, Pierre
TI - About the adiabatic stability of resonant states
JO - Annales de l'I.H.P. Physique théorique
PY - 1983
PB - Gauthier-Villars
VL - 39
IS - 2
SP - 119
EP - 143
LA - eng
KW - adiabatic theorem of quantum mechanics; resonance; resonant states; accretive; semigroup of operators
UR - http://eudml.org/doc/76213
ER -

References

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  1. [1] G. Lochak, in Dynamical systems and microphysics, Courses and Lectures of the International Center for Mechanical Sciences, n° 261, Springer Ed. (Vienna). 
  2. G. Lochak and A. Alaoui, in Annales de la Fondation Louis de Broglie, t. 2, 2, Paris, 1977. 
  3. [2] See above and also: G. Lochak, C. R. A. S., « Comptes Rendus » of the French Academy of Sciences. Série B, t. 275, 1972, p. 49. Zbl0825.00006
  4. [3] M. Reed and B. Simon, Methods of Modern Mathematical Physics, t. I to IV, Academic Press. We quote « M. M. M. P. + chapter and paragraph ». 
  5. [4] J. Aguilar and J.M. Combes, A class of analytic perturbations, Comm. in Math. Phys., t. 22, 1971, p. 269-279. Zbl0219.47011MR345551
  6. E. Balslev and J.M. Combes, Spectral properties of many-body Schrödinger operators with dilation analytic interactions. Comm. Math. Phys., t. 22, 1971, p. 280-294. Zbl0219.47005MR345552
  7. [6] D. Babitt and E. Balslev, Journal of Functional Analysis, t. 18, 1975, p. 1. Zbl0304.47009
  8. [7] B. Simon, Time dependent perturbation theory, Annals of Maths, t. 97, 1973, p. 247. Zbl0252.47009MR353896
  9. [8] T. Kato, Journal of the Phys. Soc. of Japan, 1950, p. 435. 

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