We prove Lieb–Thirring type bounds for fractional Schrödinger operators and Dirac operators with complex-valued potentials. The main new ingredient is a resolvent bound in Schatten spaces for the unperturbed operator, in the spirit of Frank and Sabin [11]
This thesis is devoted to quantitative questions about the discrete spectrum of Schrödinger-type ope...
We extend a result of Davies and Nath (J Comput Appl Math 148(1):1–28, 2002) on the location of eige...
AbstractWe prove quantitative bounds on the eigenvalues of non-selfadjoint unbounded operators obtai...
This thesis concerns the spectral theory of Schrödinger and Dirac operators. The main results relate...
This thesis concerns the spectral theory of Schrödinger and Dirac operators. The main results relate...
This thesis concerns the spectral theory of Schrödinger and Dirac operators. The main results relate...
Laptev and Safronov conjectured that any non-positive eigenvalue of a Schrödinger operator −Δ+Vin L2...
Laptev and Safronov conjectured that any non-positive eigenvalue of a Schrödinger operator −Δ+Vin L2...
Laptev and Safronov conjectured that any non-positive eigenvalue of a Schrödinger operator −Δ+Vin L2...
Laptev and Safronov conjectured that any non-positive eigenvalue of a Schrödinger operator −Δ+Vin L2...
For $s>0$, let $H_0=(-\Delta)^s$ be the fractional Laplacian. In this paper, we obtainLieb-Thirring ...
We show that the non-embedded eigenvalues of the Dirac operator on the real line with complex mass a...
We prove weighted uniform estimates for the resolvent of the Laplace operator in Schatten spaces, on...
We estimate the lowest eigenvalue in the gap of a Dirac operator with mass in terms of a Lebesgue no...
We prove a Lieb-Thirring type inequality for a complex perturbation of a d-dimensional massive Dirac...
This thesis is devoted to quantitative questions about the discrete spectrum of Schrödinger-type ope...
We extend a result of Davies and Nath (J Comput Appl Math 148(1):1–28, 2002) on the location of eige...
AbstractWe prove quantitative bounds on the eigenvalues of non-selfadjoint unbounded operators obtai...
This thesis concerns the spectral theory of Schrödinger and Dirac operators. The main results relate...
This thesis concerns the spectral theory of Schrödinger and Dirac operators. The main results relate...
This thesis concerns the spectral theory of Schrödinger and Dirac operators. The main results relate...
Laptev and Safronov conjectured that any non-positive eigenvalue of a Schrödinger operator −Δ+Vin L2...
Laptev and Safronov conjectured that any non-positive eigenvalue of a Schrödinger operator −Δ+Vin L2...
Laptev and Safronov conjectured that any non-positive eigenvalue of a Schrödinger operator −Δ+Vin L2...
Laptev and Safronov conjectured that any non-positive eigenvalue of a Schrödinger operator −Δ+Vin L2...
For $s>0$, let $H_0=(-\Delta)^s$ be the fractional Laplacian. In this paper, we obtainLieb-Thirring ...
We show that the non-embedded eigenvalues of the Dirac operator on the real line with complex mass a...
We prove weighted uniform estimates for the resolvent of the Laplace operator in Schatten spaces, on...
We estimate the lowest eigenvalue in the gap of a Dirac operator with mass in terms of a Lebesgue no...
We prove a Lieb-Thirring type inequality for a complex perturbation of a d-dimensional massive Dirac...
This thesis is devoted to quantitative questions about the discrete spectrum of Schrödinger-type ope...
We extend a result of Davies and Nath (J Comput Appl Math 148(1):1–28, 2002) on the location of eige...
AbstractWe prove quantitative bounds on the eigenvalues of non-selfadjoint unbounded operators obtai...