N-body long-range scattering matrix

Author:

Ashida Sohei1

Affiliation:

1. Department of Mathematics Gakushuin University 1-5-1 Mejiro Toshima-ku Tokyo, 171-8588, Japan

Publisher

Hiroshima University - Department of Mathematics

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference22 articles.

1. [1] W. Amrein, A. Boutet de Monvel and V. Georgescu, C0-Groups, commutator methods and spectral theory of N-body Hamiltonians, Birkhäuser, Basel, Boston, Berlin, 1996.

2. [2] J. Dereziński, Asymptotic completeness for N-particle long-range quantum systems, Ann. of Math., 38 (1993), 427–476.

3. [3] J. Dereziński and C. Gérard, Scattering theory of classical and quantum N-particle systems, Springer, Berlin, Heidelberg, 1997.

4. [4] R. Froese and I. Herbst, Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators, Commun. Math. Phys., 87 (1982), 429–447.

5. [5] Y. Gâtel and D. Yafaev, On solutions of the Schrödinger equation with radiation conditions at infinity: the long range case, Ann. Inst. Fourier Grenoble, 49 (1999), 1581–1602.

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1. Stationary Scattering Theory: The N-Body Long-Range Case;Communications in Mathematical Physics;2023-05-02

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