Stationary states for non linear one-dimensional Schrodinger equations with singular potential

被引：7

作者：

Della Casa, Filippo F. G. ^{[1
]}

Sacchetti, Andrea ^{[1
]}

机构：

[1] Univ Modena & Reggio Emilia, Dipartimento Matemat Pura & Applicata, I-41100 Modena, Italy

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2006年 / 219卷 / 01期

关键词：

non linear Schrodinger equations; pointwise Dirac's delta interactions;

D O I：

10.1016/j.physd.2006.05.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the time-independent one-dimensional non linear Schrodinger equation (NLS) with pointwise singular potential. We prove that when the strength of the pointwise interaction is less than a critical value, depending on the nonlinearity power a, then a non linear real-valued bound state exists. Furthermore, we show that when or is larger than 2 a further new real-valued stationary state appears under some conditions. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：60 / 68

页数：9

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