On the two-dimensional Schrödinger operator with an attractive potential of the Bessel-Macdonald type

Annals of Physics ◽

10.1016/j.aop.2020.168385 ◽

2020 ◽

pp. 168385

Author(s):

Wellisson B. De Lima ◽

Oswaldo M. Del Cima ◽

Daniel H.T. Franco ◽

Bruno C. Neves

Keyword(s):

Schrödinger Operator ◽

Attractive Potential ◽

Two Dimensional ◽

Schrodinger Operator

Download Full-text

Absolute continuity of the spectrum of the two-dimensional magnetic periodic Schrödinger operator with positive electric potential

Proceedings of the St. Petersburg Mathematical Society, Volume IX - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/209/09 ◽

2003 ◽

pp. 191-221

Author(s):

R. G. Shterenberg

Keyword(s):

Schrödinger Operator ◽

Electric Potential ◽

Absolute Continuity ◽

Two Dimensional ◽

Schrodinger Operator ◽

Continuity Of The Spectrum ◽

Periodic Schrödinger Operator

Download Full-text

A sufficient nonsingularity condition for a discrete finite-gap one-energy two-dimensional Schrödinger operator on the quad-graph

Functional Analysis and Its Applications ◽

10.1007/s10688-015-0106-z ◽

2015 ◽

Vol 49 (3) ◽

pp. 210-213

Author(s):

B. O. Vasilevskii

Keyword(s):

Schrödinger Operator ◽

Two Dimensional ◽

Schrodinger Operator

Download Full-text

The Green’s function of a five-point discretization of a two-dimensional finite-gap Schrödinger operator: The case of four singular points on the spectral curve

Siberian Mathematical Journal ◽

10.1134/s0037446613060049 ◽

2013 ◽

Vol 54 (6) ◽

pp. 994-1004 ◽

Author(s):

B. O. Vasilevskiĭ

Keyword(s):

Green’S Function ◽

Green's Function ◽

Schrödinger Operator ◽

Spectral Curve ◽

Singular Points ◽

Two Dimensional ◽

Schrodinger Operator

Download Full-text

Scattering transformation at fixed non-zero energy for the two-dimensional Schrödinger operator with potential decaying at infinity

Russian Mathematical Surveys ◽

10.1070/rm2000v055n06abeh000333 ◽

2000 ◽

Vol 55 (6) ◽

pp. 1015-1083 ◽

Author(s):

P G Grinevich

Keyword(s):

Schrödinger Operator ◽

Two Dimensional ◽

Schrodinger Operator ◽

Download Full-text

On the spectrum of a two-dimensional Schrödinger operator with a homogeneous magnetic field and a periodic electric potential

Izvestiya Instituta Matematiki i Informatiki Udmurt Gos Univ ◽

10.20537/2226-3594-2018-51-01 ◽

2018 ◽

Vol 51 ◽

pp. 3-41

Author(s):

L.I. Danilov ◽

Keyword(s):

Magnetic Field ◽

Schrödinger Operator ◽

Electric Potential ◽

Homogeneous Magnetic Field ◽

Two Dimensional ◽

Schrodinger Operator

Download Full-text

Asymptotic Eigenfunctions of the “Bouncing Ball” Type for the Two-Dimensional Schrödinger Operator with a Symmetric Potential

Theoretical and Mathematical Physics ◽

10.1134/s0040577919060060 ◽

2019 ◽

Vol 199 (3) ◽

pp. 849-863 ◽

Author(s):

A. I. Klevin

Keyword(s):

Schrödinger Operator ◽

Two Dimensional ◽

Schrodinger Operator ◽

Symmetric Potential ◽

Download Full-text

Inverse backscattering Born approximation for a two-dimensional magnetic Schrödinger operator

Inverse Problems ◽

10.1088/0266-5611/29/7/075015 ◽

2013 ◽

Vol 29 (7) ◽

pp. 075015 ◽

Author(s):

Valery Serov

Keyword(s):

Schrödinger Operator ◽

Born Approximation ◽

Two Dimensional ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

Download Full-text

Unitary reduction for the two-dimensional Schrödinger operator with strong magnetic field

Mathematische Nachrichten ◽

10.1002/mana.200710751 ◽

2009 ◽

Vol 282 (4) ◽

pp. 504-525 ◽

Author(s):

Andrei Eckstein

Keyword(s):

Magnetic Field ◽

Strong Magnetic Field ◽

Schrödinger Operator ◽

Two Dimensional ◽

Schrodinger Operator

Download Full-text

Inverse fixed energy scattering problem for the two-dimensional nonlinear Schrödinger operator

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2015.1055263 ◽

2015 ◽

Vol 24 (4) ◽

pp. 692-710 ◽

Author(s):

Georgios Fotopoulos ◽

Valery Serov

Keyword(s):

Schrödinger Operator ◽

Scattering Problem ◽

Two Dimensional ◽

Schrodinger Operator ◽

Nonlinear Schrödinger ◽

Energy Scattering ◽

Fixed Energy ◽

Nonlinear Schrödinger Operator

Download Full-text

New estimates of the Green–Faddeev function and recovering of singularities in the two-dimensional Schrödinger operator with fixed energy

Inverse Problems ◽

10.1088/0266-5611/21/4/006 ◽

2005 ◽

Vol 21 (4) ◽

pp. 1291-1301 ◽

Author(s):

Valery S Serov ◽

Lassi Päivärinta

Keyword(s):

Schrödinger Operator ◽

Two Dimensional ◽

Schrodinger Operator ◽

Download Full-text