Spectral Properties of Non-Self-Adjoint Operators in the Semi-classical Regime

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We give a spectral description of the semi-classical Schrodinger operator with a piecewise linear, complex valued potential. Moreover, using these results, we show how an arbitrarily small bounded perturbation of a non-self-adjoint operator can completely change the spectrum of the operator.
17 pages, 3 figures

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Spectral Theory, 47E05, 34L20, 34L40, 33C10, 34M40

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http://salesiana.dossiersoluciones.com/handle/123456789/58821

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0003044
 http://arxiv.org/abs/math/0003044

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arXiv