Search
Search Results
-
On Asymptotics of the Spectrum of an Integral Operator with a Logarithmic Kernel of a Special Form
AbstractWe study the asymptotic behavior of the spectrum of an integral operator similar to an integral operator with a logarithmic kernel depending...
-
\(\left( n,\varepsilon \right) \) -Condition Spectrum of Operator Pencils
The goal of the study is to generalize the \(\varepsilon \)...
-
The Structure of the Essential Spectrum and the Discrete Spectrum of the Energy Operator for Six-Electron Systems in the Hubbard Model. The Second Singlet State
We consider the energy operator of six-electron systems in the Hubbard model and study the structure of the essential spectrum and the discrete...
-
The discrete spectrum of the Neumann-Poincaré operator in 3D elasticity
For the Neumann-Poincaré (double layer potential) operator in the three-dimensional elasticity we establish asymptotic formulas for eigenvalues...
-
On the Spectrum of the One-Particle Schrödinger Operator with Point Interaction
AbstractWe consider a one-dimensional one-particle quantum system interacted by two identical point interactions situated symmetrically with respect...
-
Asymtotic of the Discrete Spectrum of the Three-Particle Schrödinger Operator on a One-Dimensional Lattice
AbstractWe consider the Schrödinger operator corresponding to the Hamiltonian of a system of three arbitrary particles on the one-dimensional...
-
Operator Spectrum Transformation in Hartree–Fock and Kohn–Sham Equations
AbstractThe paper proposes a method for preliminary transformation of the spectrum of the equation operator both in the Hartree–Fock method and in...
-
Spectrum of Schrödinger Operator in Covering of Elliptic Ring
AbstractThe stationary Schrödinger equation is studied in a domain bounded by two confocal ellipses and in its coverings. The order of dependence of...
-
Invertibility and Spectrum of the Riemann Boundary Value Problem Operator in a Countably Normed Space of Smooth Functions on a Circle
AbstractIn a countably normed space of smooth functions on the unit circle, we consider the Riemann boundary value problem operator with smooth...
-
Asymptotics of the Spectrum of a Threedimensional Hartree Type Operator Near Upper Boundaries of Spectral Clusters
We consider the eigenproblem for a Hartree type operator with a small parameter at nonlineratiry, where the self-action potential is the difference...
-
On the Spectrum Localization of an Operator-Function Arising at Studying Oscillations of a Viscoelastic Pipeline with Kelvin–Voigt Friction
AbstractIn this paper we consider an operator function being a symbol of the abstract integro-differential equation describing the oscillations of a...
-
An Example of Embedded Singular Continuous Spectrum for Discrete Schrödinger Operators
We present an example of a potential such that the corresponding discrete Schrödinger operator has singular continuous spectrum embedded in the...
-
On the Discrete Spectrum of the Three-Particle Schrödinger Operator on a Two-Dimensional Lattice
AbstractWe consider Schrödinger operator corresponding to the Hamiltonian of a system of three arbitrary particles on the two-dimensional lattice,...
-
One Condition for Discreteness of the Spectrum and Compactness of the Resolvent of a Nonsectorial Sturm–Liouville Operator on a Semiaxis
AbstractThe spectral properties of the Sturm–Liouville operator on a semiaxis in the case of a complex-valued potential with a range exceeding the...