Browsing by Author "Raymond, Nicolas"

Now showing 1 - 1 of 1
  • No Thumbnail Available
    Item
    ON THE TWO-DIMENSIONAL QUANTUM CONFINED STARK EFFECT IN STRONG ELECTRIC FIELDS
    (2022) Cornean, Horia; Krejcirik, David; Pedersen, Thomas G.; Raymond, Nicolas; Stockmeyer, Edgardo
    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.