Semiclassical resonances for a two-level Schrödinger operator with a conical intersection

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We study the resonant set of a two-level Schrödinger operator with a linear conical intersection. This model operator can be decomposed into a direct sum of first order systems on the real half-line. For these ordinary differential systems we locally construct exact WKB solutions, which are connected to global solutions, amongst which are resonant states. The main results are a generalized Bohr-Sommerfeld quantization condition and an asymptotic description of the set of resonances as a distorted lattice.
45 pages 4 figures

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Analysis of PDEs, Spectral Theory, 33P99

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http://salesiana.dossiersoluciones.com/handle/123456789/105140

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511724
 http://arxiv.org/abs/math/0511724

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arXiv