Trace formulas for the matrix Schrodinger operator on the half-line with general boundary conditions

被引：5

作者：

Weder, Ricardo ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Invest Matemat Aplicadas & Sistemas, Dept Fis Matemat, Apartado Postal 20-126, Mexico City 01000, DF, Mexico

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2016年 / 57卷 / 11期

关键词：

INVERSE SCATTERING PROBLEM; QUANTUM GRAPHS; KIRCHHOFFS RULE;

D O I：

10.1063/1.4964447

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove Buslaev-Faddeev trace formulas for the matrix Schrodinger operator on the half-line, with general boundary conditions at the origin and with selfadjoint matrix potentials. Published by AIP Publishing.

引用

页数：11

共 28 条

[1] Agranovich Z., 1963, The Inverse Problem of Scattering Theory
[2] Small-energy analysis for the selfadjoint matrix Schrodinger operator on the half line. II
Aktosun, Tuncay
Klaus, Martin
Weder, Ricardo
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2014, 55 (03)
[3] High-energy analysis and Levinson's theorem for the selfadjoint matrix Schrodinger operator on the half line
Aktosun, Tuncay
Weder, Ricardo
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (01)
[4] Small-energy analysis for the self-adjoint matrix Schrodinger operator on the half line
Aktosun, Tuncay
Klaus, Martin
Weder, Ricardo
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (10)
[5] [Anonymous], 2013, MATH SURVEYS MONOGRA
[6] [Anonymous], THESIS
[7] Applications Its, 2008, P S PURE MATH, V77
[8] On the number of negative eigenvalues of the Laplacian on a metric graph
Behrndt, Jussi
Luger, Annemarie
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (47)
[9] Berkolaiko G, 2006, CONTEMP MATH, V415, P35
[10] Symmetries of quantum graphs and the inverse scattering problem
Boman, J
Kurasov, P
[J]. ADVANCES IN APPLIED MATHEMATICS, 2005, 35 (01) : 58 - 70

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