Radiation conditions and scattering theory forN-particle Hamiltonians

作者: D. Yafaev

DOI: 10.1007/BF02102107

关键词:

摘要: The correct form of the angular part radiation conditions is found in scattering problem forN-particle quantum systems. estimates obtained allow us to give an elementary proof asymptotic completeness for such systems framework theory smooth perturbations.

参考文章(28)
A. Iftimovici, On asymptotic completeness for Agmon type Hamiltonians Comptes rendus de l'Académie des sciences. Série 1, Mathématique. ,vol. 314, pp. 337- 342 ,(1992)
K. Hepp, ON THE QUANTUM-MECHANICAL N-BODY PROBLEM. Helvetica Physica Acta. ,vol. 42, pp. 425- 458 ,(1969)
R. J. Eden, L. D. Fadeev, Mathematical Aspects of the Three-Body Problem in Quantum Scattering Theory The Mathematical Gazette. ,vol. 50, pp. 443- ,(1966) , 10.2307/3614005
D. R. I͡Afaev, Mathematical scattering theory ,(1992)
M. Moulin, J. Ginibre, Hilbert space approach to the quantum mechanical three-body problem Annales De L Institut Henri Poincare-physique Theorique. ,vol. 21, pp. 97- 145 ,(1974)
Volker Enss, Completeness of three body quantum scattering LNM. ,vol. 1031, pp. 62- 88 ,(1983) , 10.1007/BFB0072111
Tosio Kato, Smooth operators and commutators Studia Mathematica. ,vol. 31, pp. 535- 546 ,(1968) , 10.4064/SM-31-5-535-546