D. Sambou

activity

20132024

most citedA criterion for the existence of non-real eigenvalues for a Dirac operator

5 citations · 17 across the 15 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math-ph2014

Spectral non-self-adjoint analysis of complex Dirac, Pauli and Schrödinger operators of full rank with constant magnetic fields

Diomba Sambou

We consider Dirac, Pauli and Schrödinger quantum magnetic Hamiltonians of full rank in $L^{2} (R^{2 d})$ , $d \geq 1$ , perturbed by non-self-adjoint (matrix-valu…

math-ph2014

Counting function of magnetic eigenvalues for non-definite sign perturbations

Diomba Sambou

We consider the perturbed operator $H (b, V) := H (b, 0) + V$ , where $H (b, 0)$ is the $3$ d Hamiltonian of Pauli with non-constant magnetic field, and $V$ is \textit{a non-definite sign…

math-ph2014★ 1 cited

Quantitative bounds on the discrete spectrum of non self-adjoint quantum magnetic Hamiltonians

Diomba Sambou

We establish Lieb-Thirring type inequalities for non self-adjoint relatively compact perturbations of certain operators of mathematical physics. We apply our results to quantum Ham…