a mathematically rigorous definition of the one-dimensional Schrodinger operator -d(2)/dx(2)-gamma/x is given, It is proven that the domain of the operator is defined by the boundary conditions connecting the values of the function on the left and right half-axes. The investigated operator is compared with the Schrodinger operator containing the Coulomb potential -gamma/x
In this paper, we consider the Schrodinger operators defined by the differential expression Lu = -De...
We present an extension of the Gilbert-Pearson theory of subordinacy, which relates dimensional Haus...
For the one-dimensional Schrodinger operator with delta-interactions, two-sided estimates of the dis...
The differential operator -(d2/dx2)-(y/x), γ∈R, in one dimension is studied using distribution theor...
Quantum mechanical models and practical calculations often rely on some exactly solvable models like...
This paper presents the spectral analysis of 1-dimensional Schrödinger operator on the half-line who...
For a class of singular potentials, including the Coulomb potential (in three and less dimensions) a...
International audienceThis paper presents a thorough analysis of 1-dimensional Schrödinger operators...
In the D=1 dimensional space, we study the bound state solutions of the potential V(x) = -\frac{e}{x...
The D-dimensional Schr ̈odinger equation for a Coulomb potential with a coupling constant depending...
In the D = 1 dimensional space, we study the bound state solutions of the potential V(x) = −e x + b ...
A space of boundary values is constructed for symmetric Schrodinger operators with matrix potential...
A potential for the one-dimensional Dirac operator is constructed such that its essential spectrum d...
We present an extension of the Gilbert-Pearson theory of subordinacy, which relates dimensional Haus...
We present a new example of a potential such that the corresponding Schrodinger operator in the half...
In this paper, we consider the Schrodinger operators defined by the differential expression Lu = -De...
We present an extension of the Gilbert-Pearson theory of subordinacy, which relates dimensional Haus...
For the one-dimensional Schrodinger operator with delta-interactions, two-sided estimates of the dis...
The differential operator -(d2/dx2)-(y/x), γ∈R, in one dimension is studied using distribution theor...
Quantum mechanical models and practical calculations often rely on some exactly solvable models like...
This paper presents the spectral analysis of 1-dimensional Schrödinger operator on the half-line who...
For a class of singular potentials, including the Coulomb potential (in three and less dimensions) a...
International audienceThis paper presents a thorough analysis of 1-dimensional Schrödinger operators...
In the D=1 dimensional space, we study the bound state solutions of the potential V(x) = -\frac{e}{x...
The D-dimensional Schr ̈odinger equation for a Coulomb potential with a coupling constant depending...
In the D = 1 dimensional space, we study the bound state solutions of the potential V(x) = −e x + b ...
A space of boundary values is constructed for symmetric Schrodinger operators with matrix potential...
A potential for the one-dimensional Dirac operator is constructed such that its essential spectrum d...
We present an extension of the Gilbert-Pearson theory of subordinacy, which relates dimensional Haus...
We present a new example of a potential such that the corresponding Schrodinger operator in the half...
In this paper, we consider the Schrodinger operators defined by the differential expression Lu = -De...
We present an extension of the Gilbert-Pearson theory of subordinacy, which relates dimensional Haus...
For the one-dimensional Schrodinger operator with delta-interactions, two-sided estimates of the dis...
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