122 citations · 452 across the 56 of their papers we have counts for
4 papers · 1 filter
Negative eigenvalues of non-local Schrödinger operators with sign-changing potentials
S. Molchanov, B. Vainberg
Simon's results on the negative spectrum of recurrent Schrödinger operators () are extended to a wider class of potentials and to non-local operators. An example of po…
Spectral analysis of non-local Schrödinger operators
Yu. Kondratiev, S. Molchanov, B. Vainberg
We study spectral properties of convolution operators and their perturbations by compactly supported potentials. Results are applied to determine t…
Weyl type bound on positive Interior Transmission Eigenvalues
Evgeny Lakshtanov, Boris Vainberg
This paper contains a lower bound of the Weyl type on the counting function of the positive eigenvalues of the interior transmission eigenvalue problem which justifies the existenc…
Non-random perturbations of the Anderson Hamiltonian
S. Molchanov, B. Vainberg
The Anderson Hamiltonian is considered, where is a random potential of Bernoulli type. The operator is perturbed by a non-random, continuous potential $-w…