Výsledky vyhledávání - "Danilov, L. I."

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On the spectrum of the Landau Hamiltonian perturbed by a periodic electric potential $V\in H^s_{\mathrm {loc}}({\mathbb R}^2;{\mathbb R})$, $s > 0$

Autor: Danilov, L. I.

We prove that in a Sobolev space $H^s_{\Lambda }({\mathbb R}^2;{\mathbb R})$, $s > 0$, of periodic functions with a given period lattice $\Lambda $, there exists a dense $G_{\delta }$-set ${\mathcal O}$ such that the spectrum of the Landau Hamiltonia

Externí odkaz: http://arxiv.org/abs/2412.09212

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On the spectrum of the periodic Dirac operator

Autor: Danilov, L. I.

Publikováno v: Theoret. and Math. Phys. 124 (2000), no.1, 859-871

The absolute continuity of the spectrum for the periodic Dirac operator $$ \hat D=\sum_{j=1}^n(-i\frac {\partial}{\partial x_j}-A_j)\hat \alpha_j + \hat V^{(0)}+\hat V^{(1)}, x\in R^n, n\geq 3, $$ is proved given that either $A\in C(R^n;R^n)\cap H^q_

Externí odkaz: http://arxiv.org/abs/0905.4622

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On absolute continuity of the spectrum of a periodic magnetic Schr\'odinger operator

Autor: Danilov, L. I.

Publikováno v: J. Phys. A: Math. Theor. 42 (2009) 275204

We consider the Schr\"odinger operator in ${\mathbb R}^n$, $n\geq 3$, with the electric potential $V$ and the magnetic potential $A$ being periodic functions (with a common period lattice) and prove absolute continuity of the spectrum of the operator

Externí odkaz: http://arxiv.org/abs/0902.3371

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On absolute continuity of the spectrum of a d-dimensional periodic magnetic Dirac operator

Autor: Danilov, L. I.

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 particular, for d = 3, electric potentials from Zygmund classes $L^3\ln

Externí odkaz: http://arxiv.org/abs/0805.0399

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Weyl almost periodic selections of multivalued maps

Autor: Danilov, L. I.

Publikováno v: Izv. Inst. Mat. i Informat. Udm. Univ., vyp. 3 (37), 2006, pp. 27 - 28

In this work we present some results on existence of Weyl almost periodic selections of multivalued maps taking values in a complete metric space.
Comment: 3 pages, LaTeX. Presented at the Conference: "Control Theory and Mathematical Modelling",

Externí odkaz: http://arxiv.org/abs/math/0703630

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Absence of eigenvalues for the generalized two-dimensional periodic Dirac operator

Autor: Danilov, L. I.

Publikováno v: St. Petersburg Math. J., Vol. 17 (2006), No. 3, Pages 409-433

A generalized two-dimensional periodic Dirac operator is considered, with $L^{\infty}$-matrix-valued coefficients of the first order derivatives and with complex matrix-valued potential. It is proved that if the matrix-valued potential has zero bound

Externí odkaz: http://arxiv.org/abs/math-ph/0703029

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On Besicovitch Almost Periodic Selections of Multivalued Maps

Autor: Danilov, L. I.

We prove that Besicovitch almost periodic multivalued maps ${\bf R}\ni t \to F(t) \in cl U$ have Besicovitch almost periodic selections, where $cl U$ is the collection of non-empty closed sets of a complete metric space $U$.
Comment: 23 pages, L

Externí odkaz: http://arxiv.org/abs/math/0503293

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On Equi-Weyl Almost Periodic Selections of Multivalued Maps

Autor: Danilov, L. I.

We prove that equi-Weyl almost periodic multivalued maps $R \ni t \to F(t)\in cl U$ have equi-Weyl almost periodic selections, where $cl U$ is the collection of non-empty closed sets of a complete metric space $U$.
Comment: 23 pages, LaTeX2e; so

Externí odkaz: http://arxiv.org/abs/math/0310010

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