Resonances for non-analytic potentials

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We consider semiclassical Schroedinger operators on R^n, with C^\infty 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 R^n.
33 pages, 1 figure

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Spectral Theory, Analysis of PDEs, 35B34, 47A10, 81Q20, 35A99

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http://salesiana.dossiersoluciones.com/handle/123456789/160765

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0805.1596
 http://arxiv.org/abs/0805.1596

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arXiv