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

• URL: http://arxiv.org/abs/2012.09145v1
• Date: Wed, 16 Dec 2020 18:33:58 GMT
• Title: On the two-dimensional quantum confined Stark effect in strong electric fields
• Authors: Horia Cornean, David Krejcirik, Thomas Garm Pedersen, Nicolas Raymond and Edgardo Stockmeyer
• Abstract summary: 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 expansion of the low-lying eigenvalues. This shows that the excitation are proportional to the square root of the boundary curvature at a certain point determined by the direction of the electric field.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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