Resonance properties of the scattering matrix for the one-dimensional Schrodinger operator with a trapping potential

被引：1

作者：

Arsenev, AA

机构：

来源：

SBORNIK MATHEMATICS | 1996年 / 187卷 / 5-6期

关键词：

D O I：

10.1070/SM1996v187n06ABEH000133

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a mathematically rigorous description of the resonance scattering at a one-dimensional trapping potential.

引用

页码：785 / 802

页数：18

共 50 条

[31] ANDERSON LOCALIZATION FOR ONE-DIMENSIONAL DIFFERENCE SCHRODINGER OPERATOR WITH QUASI-PERIODIC POTENTIAL
SINAI, YG
JOURNAL OF STATISTICAL PHYSICS, 1987, 46 (5-6) : 861 - 909
[32] The asymptotic behaviour of levels of the one-dimensional Schrodinger operator with the non-local potential
Smetanina, M. S.
IZVESTIYA INSTITUTA MATEMATIKI I INFORMATIKI-UDMURTSKOGO GOSUDARSTVENNOGO UNIVERSITETA, 2005, (01): : 99 - +
[33] REGULARIZED SPECTRAL SHIFT FUNCTION FOR ONE-DIMENSIONAL SCHRODINGER OPERATOR WITH SLOWLY DECREASING POTENTIAL
KOPLIENKO, LS
SIBERIAN MATHEMATICAL JOURNAL, 1985, 26 (03) : 365 - 369
[34] Ground State Energy of the One-Dimensional Discrete Random Schrodinger Operator with Bernoulli Potential
Bishop, Michael
Wehr, Jan
JOURNAL OF STATISTICAL PHYSICS, 2012, 147 (03) : 529 - 541
[35] Classes of Uniform Convergence of Spectral Expansions for the One-Dimensional Schrodinger Operator with a Distribution Potential
Kritskov, L. V.
DIFFERENTIAL EQUATIONS, 2017, 53 (05) : 583 - 594
[36] The Scaling Limit of the Critical One-Dimensional Random Schrodinger Operator
Kritchevski, Eugene
Valko, Benedek
Virag, Balint
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2012, 314 (03) : 775 - 806
[37] Perturbation theory for the one-dimensional Schrodinger scattering problem
Pupyshev, VV
THEORETICAL AND MATHEMATICAL PHYSICS, 1995, 105 (01) : 1210 - 1223
[38] On a one-dimensional Schrodinger-Poisson scattering model
BenAbdallah, N
Degond, P
Markowich, PA
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1997, 48 (01): : 135 - 155
[39] On levels of the one-dimensional Schrodinger operator on the boundary of the essential spectrum
Pletnikova, N., I
IZVESTIYA INSTITUTA MATEMATIKI I INFORMATIKI-UDMURTSKOGO GOSUDARSTVENNOGO UNIVERSITETA, 2006, (02): : 91 - 94
[40] On Expansions in the Exact and Asymptotic Eigenfunctions of the One-Dimensional Schrodinger Operator
Anikin, A. Yu.
Dobrokhotov, S. Yu.
Shkalikov, A. A.
MATHEMATICAL NOTES, 2022, 112 (5-6) : 623 - 641

← 1 2 3 4 5 →