81 citations · 402 across the 44 of their papers we have counts for
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math-ph2006★ 12 cited
Spectral estimates for two-dimensional Schroedinger operators with application to quantum layers
Hynek Kovarik, Semjon Vugalter, Timo Weidl
A logarithmic type Lieb-Thirring inequality for two-dimensional Schroedinger operators is established. The result is applied to prove spectral estimates on trapped modes in quantum…
math-ph2006
Weakly coupled Schroedinger operators on regular metric trees
Hynek Kovarik
Spectral properties of the Schroedinger operator on regular metric trees are studied. It is shown that as goes to zero the behavior of the negative eigenvalues of…
math-ph2006★ 1 cited
A Hardy inequality in a twisted Dirichlet-Neumann waveguide
Hynek Kovarik, David Krejcirik
We consider the Laplacian in a straight strip, subject to a combination of Dirichlet and Neumann boundary conditions. We show that a switch of the respective boundary conditions le…