1207.4273 (Tien-Cuong Dinh et al.)

Asymptotic number of scattering resonances for generic Schrodinger
operators    [PDF]

Tien-Cuong Dinh, Duc-Viet Vu

Let -Delta+V be the Schrodinger operator acting on L^2(R^d,C) with d>2 odd. Here V is a bounded real or complex function vanishing outside the closed ball of center 0 and of radius a. We show for generic potentials V that the number of resonances of -Delta+V with modulus less than r is approximatively equal to a constant times a^dr^d.

View original: http://arxiv.org/abs/1207.4273