4 papers
The almost periodic gauge transform -- An abstract scheme with applications to Dirac Operators
Jean Lagacé, Sergey Morozov, Leonid Parnovski +2
One of the main tools used to understand both qualitative and quantitative spectral behaviour of periodic and almost periodic Schrödinger operators is the method of gauge transform…
Lower bounds on the moduli of three-dimensional Coulomb-Dirac operators via fractional Laplacians with applications
Sergey Morozov, David Müller
For let be the distinguished self-adjoint realisation of the three-dimensional Coulomb-Dirac operator . For $ν\…
On the virtual levels of positively projected massless Coulomb-Dirac operators
Sergey Morozov, David Müller
Considering different self-adjoint realisations of positively projected massless Coulomb-Dirac operators we find out, under which conditions any negative perturbation, however smal…
Lieb-Thirring and Cwickel-Lieb-Rozenblum inequalities for perturbed graphene with a Coulomb impurity
Sergey Morozov, David Müller
We study the two dimensional massless Coulomb-Dirac operator restricted to its positive spectral subspace and prove estimates on the negative eigenvalues created by electromagnetic…