| 一类Schr(o)dinger算子的谱范围 |
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| 引用本文： | 李丽,黄振友.一类Schr(o)dinger算子的谱范围[J].纯粹数学与应用数学,2011(3):387-391. |
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| 作者姓名： | 李丽 黄振友 |
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| 作者单位： | 黄山学院数学系;南京理工大学数学系; |
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| 基金项目： | 黄山学院科研项目(2010xkj015) |
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| 摘 要： | 针对半直线上可积势对应的Schr(o)dinger算子,研究A-函数和谱之间的关系,利用复分析中保形变换的方法给出了谱测度关于A-函数的局部表示,进而得到算子的谱范围,该结论说明了这一类Schr(o)dinger算子是下半有界的.
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| 关 键 词： | Schr(o)dinger算子 可积势 A-函数 谱 |
The spectral range of a class of Schrdinger operator |
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| LI Li ,HUANG Zhen-you.The spectral range of a class of Schrdinger operator[J].Pure and Applied Mathematics,2011(3):387-391. |
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| Authors: | LI Li HUANG Zhen-you |
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| Institution: | LI Li 1,HUANG Zhen-you 2(1.Department of Mathematics,Huangshan University,Huangshan 245041,China,2.Department of Mathematics,Nanjing University of Science and Technology,Nanjing 210094,China) |
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| Abstract: | For the half-line Schrdinger operator with integrable potential,we study the relationship between A-function and the spectrum.Local representation of the spectral measure by A-function is given using conformal transformation in complex analysis,and then we get the spectral range.The result shows that this class of Schrdinger operator are bounded from below. |
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| Keywords: | Schrdinger operator integrable potential A-function spectrum |
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