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arXiv 2012.091452020-12-16math-phmath.APmath.MPmath.SPquant-ph

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

Horia Cornean, David Krejcirik, Thomas Garm Pedersen, Nicolas Raymond, Edgardo Stockmeyer

发表信息：: SIAM J. Math. Anal. 54 (2022) 2114-2127
DOI：: 10.1137/20M1386712

英文摘要：

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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