Two-dimensional von Neumann-Wigner potentials with a multiple positive eigenvalue

R. G. Novikov; I. A. Taimanov; S. P. Tsarev

doi:10.1007/s10688-014-0073-9

Two-dimensional von Neumann-Wigner potentials with a multiple positive eigenvalue

R. G. Novikov
, I. A. Taimanov
, S. P. Tsarev

Research output: Contribution to journal › Article › peer-review

Abstract

By the Moutard transformation method we construct two-dimensional Schrödinger operators with real smooth potentials decaying at infinity and having a multiple positive eigenvalue. These potentials are rational functions of spatial variables and their sines and cosines.

Original language	English
Pages (from-to)	295-297
Number of pages	3
Journal	Functional Analysis and its Applications
Volume	48
Issue number	4
DOIs	https://doi.org/10.1007/s10688-014-0073-9
Publication status	Published - 17 Dec 2014

Keywords

Moutard transformation
positive eigenvalues
two-dimensional Schrödinger operator

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10.1007/s10688-014-0073-9

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title = "Two-dimensional von Neumann-Wigner potentials with a multiple positive eigenvalue",

abstract = "By the Moutard transformation method we construct two-dimensional Schr{\"o}dinger operators with real smooth potentials decaying at infinity and having a multiple positive eigenvalue. These potentials are rational functions of spatial variables and their sines and cosines.",

keywords = "Moutard transformation, positive eigenvalues, two-dimensional Schr{\"o}dinger operator",

author = "Novikov, \{R. G.\} and Taimanov, \{I. A.\} and Tsarev, \{S. P.\}",

note = "Publisher Copyright: {\textcopyright} 2014, Springer Science+Business Media New York.",

year = "2014",

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doi = "10.1007/s10688-014-0073-9",

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journal = "Functional Analysis and its Applications",

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T1 - Two-dimensional von Neumann-Wigner potentials with a multiple positive eigenvalue

AU - Novikov, R. G.

AU - Taimanov, I. A.

AU - Tsarev, S. P.

PY - 2014/12/17

Y1 - 2014/12/17

N2 - By the Moutard transformation method we construct two-dimensional Schrödinger operators with real smooth potentials decaying at infinity and having a multiple positive eigenvalue. These potentials are rational functions of spatial variables and their sines and cosines.

AB - By the Moutard transformation method we construct two-dimensional Schrödinger operators with real smooth potentials decaying at infinity and having a multiple positive eigenvalue. These potentials are rational functions of spatial variables and their sines and cosines.

KW - Moutard transformation

KW - positive eigenvalues

KW - two-dimensional Schrödinger operator

UR - https://www.scopus.com/pages/publications/84919439594

U2 - 10.1007/s10688-014-0073-9

DO - 10.1007/s10688-014-0073-9

M3 - Article

AN - SCOPUS:84919439594

SN - 0016-2663

VL - 48

SP - 295

EP - 297

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

IS - 4

ER -

Two-dimensional von Neumann-Wigner potentials with a multiple positive eigenvalue

Abstract

Keywords

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