On the absolutely continuous spectrum of one-dimensional Schrodinger operators with square summable potentials
On the absolutely continuous spectrum of one-dimensional Schrodinger operators with square summable potentials
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DOI：
10.1007/s002200050615
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发表时间：
1999-06-01
影响因子：
2.4
通讯作者：
Killip, R
中科院分区：
文献类型：
--
作者：
Deift, P;Killip, R
对于具有平方可和势的连续和离散一维Schrodinger算子，谱的绝对连续部分分别由[0，无穷大）和[-2，2]所支持.这一事实证明，考虑先验估计的传输系数。
For continuous and discrete one-dimensional Schrodinger operators with square summable potentials, the absolutely continuous part of the spectrum is essentially supported by [0, infinity) and [-2, 2] respectively. This fact is proved by considering a priori estimates for the transmission coefficient.