【摘要】 针对半直线上可积势对应的Schr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dinger算子是下半有界的.更多还原

【Abstract】 For the half-line Schrdinger 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 Schrdinger operator are bounded from below.更多还原