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arXiv · 2012.09145

On the two-dimensional quantum confined Stark effect in strong electric fields

Horia Cornean·David Krejcirik·Thomas Garm Pedersen·Nicolas Raymond·Edgardo Stockmeyer
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Abstract

We consider a Stark Hamiltonian on a two-dimensional bounded domain with Dirichlet boundary conditions. In the strong electric field limit we derive, under certain local convexity conditions, a three-term asymptotic expansion of the low-lying eigenvalues. This shows that the excitation frequencies are proportional to the square root of the boundary curvature at a certain point determined by the direction of the electric field.

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Horia Cornean, David Krejcirik, Thomas Garm Pedersen, Nicolas Raymond, Edgardo Stockmeyer. 2020-12-16. On the two-dimensional quantum confined Stark effect in strong electric fields. https://doi.org/10.1137/20m1386712

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