par Strauss, Yossef;Silman, Jonathan 
;Machnes, Shai;Horwitz, Lawrence L.P.
Référence International journal of theoretical physics, 50, 7, page (2179-2190)
Publication Publié, 2011-07
;Machnes, Shai;Horwitz, Lawrence L.P.Référence International journal of theoretical physics, 50, 7, page (2179-2190)
Publication Publié, 2011-07
Article révisé par les pairs
| Résumé : | We show that the existence of the family of self-adjoint Lyapunov operators introduced in Strauss (J. Math. Phys. 51:022104, 2010) allows for the decomposition of the state of a quantum mechanical system into two parts: A backward asymptotic component, which is asymptotic to the state of the system in the limit t→-∞ and vanishes at t→∞, and a forward asymptotic component, which is asymptotic to the state of the system in the limit t→∞ and vanishes at t→-∞. We demonstrate the usefulness of this decomposition for the description of resonance phenomena by considering the resonance scattering of a particle off a square barrier potential. We show that the evolution of the backward asymptotic component captures the behavior of the resonance. In particular, it provides a spatial probability distribution for the resonance and exhibits its typical decay law. © 2011 Springer Science+Business Media, LLC. |
