کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1898290 1044658 2006 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stationary states for non linear one-dimensional Schrödinger equations with singular potential
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Stationary states for non linear one-dimensional Schrödinger equations with singular potential
چکیده انگلیسی

In this paper we consider the time-independent one-dimensional non linear Schrödinger 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 σσ, then a non linear real-valued bound state exists. Furthermore, we show that when σσ is larger than 2 a further new real-valued stationary state appears under some conditions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 219, Issue 1, 1 July 2006, Pages 60–68
نویسندگان
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