We prove general comparison theorems for eigenvalues of perturbed Schrödinger operators that allow proof of Lieb–Thirring bounds for suitable non-free Schrödinger operators and Jacobi matrices
Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Sch...
We study to what extent Lieb–Thirring inequalities are extendable from self-adjoint to general (poss...
Let H be a one-dimensional discrete Schrödinger operator. We prove that if Σ_(ess)(H)⊂[−2,2], then H...
We prove general comparison theorems for eigenvalues of perturbed Schrödinger operators that allow p...
We consider C = A + B where A is selfadjoint with a gap (a, b) in its spectrum and B is (relatively)...
We consider C = A + B where A is selfadjoint with a gap (a, b) in its spectrum and B is (relatively)...
AbstractWe consider C=A+B where A is selfadjoint with a gap (a,b) in its spectrum and B is (relative...
We prove bounds of the form ∑_(e∈I⋂σ_d(H)) dist(e, σ_e(H)^(1/2) ≤ L^1 -norm of a perturbation, where...
We prove bounds on the sum of the differences between the eigenvalues of a Schr\"odinger operator an...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
We consider Schrödinger operators in R^d with complex potentials supported on a hyperplane and show ...
We consider Schrödinger operators in R^d with complex potentials supported on a hyperplane and show ...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
Laptev and Safronov conjectured that any non-positive eigenvalue of a Schrödinger operator −Δ+Vin L2...
Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Sch...
We study to what extent Lieb–Thirring inequalities are extendable from self-adjoint to general (poss...
Let H be a one-dimensional discrete Schrödinger operator. We prove that if Σ_(ess)(H)⊂[−2,2], then H...
We prove general comparison theorems for eigenvalues of perturbed Schrödinger operators that allow p...
We consider C = A + B where A is selfadjoint with a gap (a, b) in its spectrum and B is (relatively)...
We consider C = A + B where A is selfadjoint with a gap (a, b) in its spectrum and B is (relatively)...
AbstractWe consider C=A+B where A is selfadjoint with a gap (a,b) in its spectrum and B is (relative...
We prove bounds of the form ∑_(e∈I⋂σ_d(H)) dist(e, σ_e(H)^(1/2) ≤ L^1 -norm of a perturbation, where...
We prove bounds on the sum of the differences between the eigenvalues of a Schr\"odinger operator an...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
We consider Schrödinger operators in R^d with complex potentials supported on a hyperplane and show ...
We consider Schrödinger operators in R^d with complex potentials supported on a hyperplane and show ...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
Laptev and Safronov conjectured that any non-positive eigenvalue of a Schrödinger operator −Δ+Vin L2...
Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Sch...
We study to what extent Lieb–Thirring inequalities are extendable from self-adjoint to general (poss...
Let H be a one-dimensional discrete Schrödinger operator. We prove that if Σ_(ess)(H)⊂[−2,2], then H...