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arxiv: 1502.05645 · v2 · pith:HEQV7GIInew · submitted 2015-02-19 · 🧮 math.SP · math-ph· math.MP

Stark resonances in 2-dimensional curved quantum waveguides

classification 🧮 math.SP math-phmath.MP
keywords electricfieldresonancesapplyboundcomponentcurveddeformation
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In this paper we study the influence of an electric field on a two dimen-sional waveguide. We show that bound states that occur under a geometrical deformation of the guide turn into resonances when we apply an electric field of small intensity having a nonzero component on the longitudinal direction of the system. MSC-2010 number: 35B34,35P25, 81Q10, 82D77.

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