We give a Cwikel–Lieb–Rozenblum type bound on the number of bound states of Schrödinger operators with matrix-valued potentials using the functional integral method of Lieb. This significantly improves the constant in this inequality obtained earlier by Hundertmark
We give a short and unified proof of Hardy-Lieb-Thirring inequalities for moments of eigenvalues of ...
We prove bounds on the sum of the differences between the eigenvalues of a Schr\"odinger operator an...
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 give a Cwikel–Lieb–Rozenblum type bound on the number of bound states of Schrödinger operators wi...
We prove sharp Lieb-Thirring inequalities for Schrödinger operators with potentials supported on a h...
Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Sch...
Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Sch...
There are a couple of proofs by now for the famous Cwikel–Lieb–Rozenblum (CLR) bound, which is a sem...
We give a short proof of the CLR bound on the number of negative eigenvalues of Schrödinger operator...
We give a short proof of the CLR bound on the number of negative eigenvalues of Schrödinger operator...
In this paper we disprove a conjecture of Lieb and Thirring concerning the best constant in their ep...
This review celebrates the generous gift by Ronald and Maxine Linde for the remodeling of the Caltec...
This thesis investigates Lieb-Thirring and Cwikel-Lieb-Rozenblum (CLR) type inequalities for Schrödi...
We study to what extent Lieb–Thirring inequalities are extendable from self-adjoint to general (poss...
We prove a Lieb--Thirring inequality for Schr\"odinger operators $-\frac{\mathrm{d}^2}{\mathrm{d}x^2...
We give a short and unified proof of Hardy-Lieb-Thirring inequalities for moments of eigenvalues of ...
We prove bounds on the sum of the differences between the eigenvalues of a Schr\"odinger operator an...
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 give a Cwikel–Lieb–Rozenblum type bound on the number of bound states of Schrödinger operators wi...
We prove sharp Lieb-Thirring inequalities for Schrödinger operators with potentials supported on a h...
Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Sch...
Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Sch...
There are a couple of proofs by now for the famous Cwikel–Lieb–Rozenblum (CLR) bound, which is a sem...
We give a short proof of the CLR bound on the number of negative eigenvalues of Schrödinger operator...
We give a short proof of the CLR bound on the number of negative eigenvalues of Schrödinger operator...
In this paper we disprove a conjecture of Lieb and Thirring concerning the best constant in their ep...
This review celebrates the generous gift by Ronald and Maxine Linde for the remodeling of the Caltec...
This thesis investigates Lieb-Thirring and Cwikel-Lieb-Rozenblum (CLR) type inequalities for Schrödi...
We study to what extent Lieb–Thirring inequalities are extendable from self-adjoint to general (poss...
We prove a Lieb--Thirring inequality for Schr\"odinger operators $-\frac{\mathrm{d}^2}{\mathrm{d}x^2...
We give a short and unified proof of Hardy-Lieb-Thirring inequalities for moments of eigenvalues of ...
We prove bounds on the sum of the differences between the eigenvalues of a Schr\"odinger operator an...
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...