Creation and annihilation of point-potentials using Moutard-type transform in spectral variable-Reference-Cited by-同舟云学术

Creation and annihilation of point-potentials using Moutard-type transform in spectral variable

Published:2020-09-01 Issue:9 Volume:61 Page:093501
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:Journal of Mathematical Physics

Author:

Grinevich P. G.¹^ORCID,Novikov R. G.²^ORCID

Affiliation:

1. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow 199911, Russia; L.D. Landau Institute for Theoretical Physics, Chernogolovka 142432, Russia; and Lomonosov Moscow State University, Moscow 119991, Russia

2. CMAP, CNRS, École Polytechnique, Institut Polytechnique de Paris, 91128 Palaiseau, France and IEPT RAS, 117997 Moscow, Russia

Funder

Center National de la Recherche Scientifique

Russian Foundation for Fundamental Investigations

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://aip.scitation.org/doi/pdf/10.1063/1.5143303

Reference26 articles.

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

2. The inverse scattering problem on a fixed energy level for the two-dimensional Schrödinger operator

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Spectral inequality for Schrödinger's equation with multipoint potential;Russian Mathematical Surveys;2022

2. Спектральное неравенство для уравнения Шрeдингера с многоточечным потенциалом;Uspekhi Matematicheskikh Nauk;2022

3. TRANSMISSION EIGENVALUES FOR MULTIPOINT SCATTERERS;Eurasian Journal of Mathematical and Computer Applications;2021-12

4. The Moutard Transformation for the Davey–Stewartson II Equation and Its Geometrical Meaning;Mathematical Notes;2021-11