Temat: Schrödinger equation - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Dispersion estimates for spherical Schrödinger equations: the effect of boundary conditions
Autorzy:: Holzleitner, M.
Kostenko, A.
Teschl, G.
Powiązania:: https://bibliotekanauki.pl/articles/255331.pdf
Data publikacji:: 2016
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: Schrödinger equation
dispersive estimates
scattering
Opis:: We investigate the dependence of the [formula] dispersive estimates for one-dimensional radial Schrödinger operators on boundary conditions at 0. In contrast to the case of additive perturbations, we show that the change of a boundary condition at zero results in the change of the dispersive decay estimates if the angular momentum is positive, l ∈ (0,1/2). However, for nonpositive angular momenta, l ∈ (—1/2,0], the standard [formula] decay remains true for all self-adjoint realizations.
Źródło:: Opuscula Mathematica; 2016, 36, 6; 769-786
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Initial value problem for the time-dependent linear Schrodinger equation with a point singular potential by the unified transform method
Autorzy:: Rybalko, Y.
Powiązania:: https://bibliotekanauki.pl/articles/255033.pdf
Data publikacji:: 2018
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: Fokas unified transform method Schrodinger equation
interface problem
Opis:: We study an initial value problem for the one-dimensional non-stationary linear Schrodinger equation with a point singular potential. In our approach, the problem is considered as a system of coupled initial-boundary value (IBV) problems on two half-lines, to which we apply the unified approach to IBV problems for linear and integrable nonlinear equations, also known as the Fokas unified transform method. Following the ideas of this method, we obtain the integral representation of the solution of the initial value problem.
Źródło:: Opuscula Mathematica; 2018, 38, 6; 883-898
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Global well-posedness and scattering for the focusing nonlinear Schrödinger equation in the nonradial case
Autorzy:: Han, P.
Powiązania:: https://bibliotekanauki.pl/articles/254861.pdf
Data publikacji:: 2012
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: critical energy
focusing Schrodinger equation
global well-posedness
scattering
Opis:: The energy-critical, focusing nonlinear Schrödinger equation in the nonradial case reads as follows: [formula]. Under a suitable assumption on the maximal strong solution, using a compactness argument and a virial identity, we establish the global well-posedness and scattering in the nonradial case, which gives a positive answer to one open problem proposed by Kenig and Merle [Invent. Math. 166 (2006), 645-675].
Źródło:: Opuscula Mathematica; 2012, 32, 3; 487-504
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Efficient computation of the MCTDHF approximation to the time-dependent Schrodinger equation
Autorzy:: Koch, O.
Powiązania:: https://bibliotekanauki.pl/articles/255895.pdf
Data publikacji:: 2006
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: multi-configuration time-dependent Hartree-Fock method
time-dependent multi-particle Schrodinger equation
Coulomb potential
finite elements
Opis:: We discuss analytical and numerical properties of the multi-configuration time-dependent Hartree-Fock method for the approximate solution of the time-dependent multi-particle (electronic) Schrödinger equation which are relevant for an efficient implementation of this model reduction technique. Particularly, we focus on a discretization and Iow rank approximation in the evaluation of the meanfield terms occurring in the MCTDHF equations of motion, which is crucial for the computational tractability of the problem. We give error bounds for this approximation and demonstrate the achieved gain in performance.
Źródło:: Opuscula Mathematica; 2006, 26, 3; 483-497
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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