Browsing by Author "Krejcirik, David"

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    Lifshits Tails for Randomly Twisted Quantum Waveguides
    (2018) Kirsch, Werner; Krejcirik, David; Raikov, Georgi
    We consider the Dirichlet Laplacian on a 3D twisted waveguide with random Anderson-type twisting . We introduce the integrated density of states for the operator , and investigate the Lifshits tails of , i.e. the asymptotic behavior of as . In particular, we study the dependence of the Lifshits exponent on the decay rate of the single-site twisting at infinity.
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    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.