## Asymptotic completeness for quantum mechanical potential scattering. I: Short range potentials.(English)Zbl 0389.47005

### MSC:

 47A40 Scattering theory of linear operators 35P25 Scattering theory for PDEs 81U20 $$S$$-matrix theory, etc. in quantum theory
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### References:

 [1] Agmon, S.: Ann. Sc. Norm. Sup. Pisa, Serie IV,2, 151–218 (1975) [2] Amrein, W. O., Georgescu, V.: Helv. Phys. Acta46, 635–658 (1973) [3] Kato, T.: Perturbation theory for linear operators. Berlin-Heidelberg-New York: Springer 1966 · Zbl 0148.12601 [4] Kuroda, S. T.: Nuovo Cimento12, 431–454 (1959) · Zbl 0084.44801 [5] Reed, M., Simon, B.: Methods of modern mathematical physics. In: Fourier analysis, self-adjointness, Vol. II. New York: Academic Press 1975 · Zbl 0308.47002 [6] Ruelle, D.: Nuovo Cimento61A, 655–662 (1969) [7] Simon, B.: Commun. math. Phys.55, 259–274 (1977) · Zbl 0413.47008 [8] Deift, P. J., Simon, B.: Commun. Pure Appl. Math.30, 573–583 (1977) · Zbl 0354.47004
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