12 citations · 26 across the 7 of their papers we have counts for
7 papers
On the spectrum of the periodic Dirac operator
L. I. Danilov
The absolute continuity of the spectrum for the periodic Dirac operator $$ \hat D=\sum_{j=1}^n(-i\frac {\partial}{\partial x_j}-A_j)\hat α_j + \hat V^{(0)}+\hat V^{(1)}, x\in R^n,…
On absolute continuity of the spectrum of a periodic magnetic Schrödinger operator
L. I. Danilov
We consider the Schrödinger operator in , , with the electric potential and the magnetic potential being periodic functions (with a common period la…
On absolute continuity of the spectrum of a d-dimensional periodic magnetic Dirac operator
L. I. Danilov
In this paper, for d > 2, we prove the absolute continuity of the spectrum of a d-dimensional periodic Dirac operator with some discontinuous magnetic and electric potentials. In p…
Weyl almost periodic selections of multivalued maps
L. I. Danilov
In this work we present some results on existence of Weyl almost periodic selections of multivalued maps taking values in a complete metric space.
Absence of eigenvalues for the generalized two-dimensional periodic Dirac operator
L. I. Danilov
A generalized two-dimensional periodic Dirac operator is considered, with -matrix-valued coefficients of the first order derivatives and with complex matrix-valued pote…
On Besicovitch Almost Periodic Selections of Multivalued Maps
L. I. Danilov
We prove that Besicovitch almost periodic multivalued maps have Besicovitch almost periodic selections, where is the collection of non-empty…