2008/05/12 by André Martínez, Martinez, André, Thierry Ramond +3
Mathematics · Computer Science · #Spectral Theory in Mathematical Physics #Numerical methods in inverse problems #Advanced Mathematical Modeling in Engineering
paper · pdf · doi:10.48550/arxiv.0805.1596
We consider semiclassical Schroedinger operators on Rn, with C^∞ potentials decaying polynomially at infinity. The usual theories of resonances do not apply in such a non-analytic framework. Here, under some additional conditions, we show that resonances are invariantly defined up to any power of their imaginary part. The theory is based on resolvent estimates for families of approximating distorted operators with potentials that are holomorphic in narrow complex sectors around Rn.