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Article Dans Une Revue Journal of Mathematical Physics Année : 2005

Universality of Low-energy Scattering in (2+1)- Dimensions: the Non Symmetric Case

N.N. Khuri
  • Fonction : Auteur
A. Martin
  • Fonction : Auteur
Tai Tsun Wu
  • Fonction : Auteur

Résumé

For a very large class of potentials, V((x) over right arrow),(x) over right arrow is an element of R-2, we prove the universality of the low-energy scattering amplitude, f((k) over right arrow,(k) over right arrow). The result is f=root pi/2(1/log k) +o(1)/[log(1/k)]. The only exceptions occur if V happens to have a zero-energy bound state. Our new result includes as a special subclass the case of rotationally symmetric potentials, V(vertical bar(x) over right arrow vertical bar).

Dates et versions

hal-00327778 , version 1 (09-10-2008)

Identifiants

Citer

N.N. Khuri, Pierre Sabatier, A. Martin, Tai Tsun Wu. Universality of Low-energy Scattering in (2+1)- Dimensions: the Non Symmetric Case. Journal of Mathematical Physics, 2005, 46 (3), pp.032103. ⟨10.1063/1.1843274⟩. ⟨hal-00327778⟩
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