2008/05/12 by André Martínez, André Martinez, Martinez, André +4
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #math.AP #math.SP #msc:35A99 #msc:35B34 #msc:47A10 #msc:81Q20
paper · pdf · doi:10.48550/arxiv.0805.1596
33 pages, 1 figure
arxiv created 2008/05/12 · arxiv updated 2009/12/01
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.