Bound state for the fractional Schrödinger equation with unbounded potential
Bound state for the fractional Schrödinger equation with unbounded potential
复制标题
DOI：
10.1063/1.3701574
复制
发表时间：
2012-04
影响因子：
1.3
通讯作者：
M. Cheng
中科院分区：
文献类型：
--
作者：
M. Cheng
本文考虑具有无界位势的分数阶Schrodinger方程。我们用拉格朗日乘子法证明了基态的存在性。用Nehari流形方法得到了具有指定频率的驻波。在第四部分中，我们得到了驻波是束缚态。
This paper considers the fractional Schrodinger equation with unbounded potential. We prove the existence of ground state by Lagrange multiplier method. The standing wave with prescribed frequency is also obtained by Nehari's manifold approach. In the last part, we obtain that the standing wave is bound state.