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About the adiabatic stability of resonant states. (English) Zbl 0529.47021

MSC:
47B44 Linear accretive operators, dissipative operators, etc.
47D03 Groups and semigroups of linear operators
81V70 Many-body theory; quantum Hall effect
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References:
[1] G. Lochak , in Dynamical systems and microphysics , Courses and Lectures of the International Center for Mechanical Sciences , n^\circ 261 , Springer Ed . ( Vienna ).
[2] G. Lochak and A. Alaoui , in Annales de la Fondation Louis de Broglie , t. 2 , 2 , Paris , 1977 .
[3] 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 . Zbl 0825.00006 · Zbl 0825.00006
[4] 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 . · Zbl 0401.47001
[5] J. Aguilar and J.M. Combes , A class of analytic perturbations , Comm. in Math. Phys. , t. 22 , 1971 , p. 269 - 279 . Article | MR 345551 | Zbl 0219.47011 · Zbl 0219.47011
[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 . Article | MR 345552 | Zbl 0219.47005 · Zbl 0219.47005
[7] D. Babitt and E. Balslev , Journal of Functional Analysis , t. 18 , 1975 , p. 1 . Zbl 0304.47009 · Zbl 0304.47009
[8] B. Simon , Time dependent perturbation theory , Annals of Maths , t. 97 , 1973 , p. 247 . MR 353896 | Zbl 0252.47009 · Zbl 0252.47009
[9] T. Kato , Journal of the Phys. Soc. of Japan , 1950 , p. 435 .
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