The criterion of absence of bound states in two-dimensional perturbation of the discrete Schrodinger equation

2017 Days on Diffraction (DD) ◽

10.1109/dd.2017.8167998 ◽

2017 ◽

Author(s):

V.V. Borzov ◽

E.V. Damaskinsky

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Bound States ◽

Two Dimensional ◽

Discrete Schrödinger Equation

Download Full-text

Bound states for two dimensional Schrödinger equation with anisotropic interactions localized on a circle

Journal of Mathematical Physics ◽

10.1063/1.4907382 ◽

2015 ◽

Vol 56 (2) ◽

pp. 022103 ◽

Cited By ~ 2

Author(s):

E. de Prunelé

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Bound States ◽

Two Dimensional ◽

Anisotropic Interactions

Download Full-text

Bound states emerging from below the continuum in a solvablePT-symmetric discrete Schrödinger equation

Physical Review A ◽

10.1103/physreva.96.012127 ◽

2017 ◽

Vol 96 (1) ◽

Cited By ~ 3

Author(s):

Miloslav Znojil

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Bound States ◽

Discrete Schrödinger Equation ◽

The Continuum

Download Full-text

Bound states of two-dimensional solitons in the discrete nonlinear Schrödinger equation

Journal of Physics A General Physics ◽

10.1088/0305-4470/34/45/302 ◽

2001 ◽

Vol 34 (45) ◽

pp. 9615-9629 ◽

Cited By ~ 29

Author(s):

P G Kevrekidis ◽

B A Malomed ◽

A R Bishop

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Bound States ◽

Nonlinear Schrodinger Equation ◽

Two Dimensional ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger

Download Full-text

Novel bound states treatment of the two dimensional Schrödinger equation with pseudocentral potentials plus multiparameter noncentral potential

Journal of Mathematical Chemistry ◽

10.1007/s10910-011-9873-9 ◽

2011 ◽

Vol 49 (9) ◽

pp. 1831-1842 ◽

Cited By ~ 3

Author(s):

Metin Aktaş

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Bound States ◽

Two Dimensional ◽

Noncentral Potential

Download Full-text

Inverse problem for the two-dimensional discrete Schrödinger equation

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.2000.15.5.455 ◽

2000 ◽

Vol 15 (5) ◽

Cited By ~ 1

Author(s):

S. I. SERDYUKOVA

Keyword(s):

Inverse Problem ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Two Dimensional ◽

Discrete Schrödinger Equation

Download Full-text

Potential reconstruction for two-dimensional discrete Schrödinger equation

Nuclear Instruments and Methods in Physics Research Section A Accelerators Spectrometers Detectors and Associated Equipment ◽

10.1016/j.nima.2004.07.106 ◽

2004 ◽

Vol 534 (1-2) ◽

pp. 304-308 ◽

Cited By ~ 2

Author(s):

S.I. Serdyukova

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Two Dimensional ◽

Discrete Schrödinger Equation

Download Full-text

Inverse problem for the two-dimensional discrete Schrödinger equation in a square

Programming and Computer Software ◽

10.1134/s0361768807020090 ◽

2007 ◽

Vol 33 (2) ◽

pp. 117-119

Author(s):

S. I. Serdyukova

Keyword(s):

Inverse Problem ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Two Dimensional ◽

Discrete Schrödinger Equation

Download Full-text

Local well-posedness for the quadratic Schrödinger equation in two-dimensional compact manifolds with boundary

São Paulo Journal of Mathematical Sciences ◽

10.1007/s40863-021-00249-w ◽

2021 ◽

Author(s):

Marcelo Nogueira ◽

Mahendra Panthee

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Compact Manifolds ◽

Well Posedness ◽

Two Dimensional ◽

Manifolds With Boundary

Download Full-text

Local absorbing boundary conditions for two‐dimensional nonlinear Schrödinger equation with wave operator on unbounded domain

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7703 ◽

2021 ◽

Author(s):

Hongwei Li

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Unbounded Domain ◽

Wave Operator ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Absorbing Boundary Conditions ◽

Two Dimensional ◽

Absorbing Boundary

Download Full-text

Stability of one and two-dimensional spatial solitons in a cubic-quintic-septimal nonlinear Schrödinger equation with fourth-order diffraction and PT-symmetric potentials

Wave Motion ◽

10.1016/j.wavemoti.2021.102810 ◽

2021 ◽

pp. 102810

Author(s):

Boubakary Abdou ◽

Fabien II Ndzana ◽

Latchio Tiofack Gaston ◽

Alidou Mohamadou

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Two Dimensional ◽

Spatial Solitons ◽

Nonlinear Schrödinger ◽

Order Diffraction

Download Full-text