On the Absolutely Continuous Spectrum¶of One-Dimensional Schrödinger Operators¶with Square Summable Potentials
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For continuous and discrete one-dimensional Schrödinger operators with square summable potentials, the absolutely continuous part of the spectrum is essentially supported by [0,∞) and [−2,2] respectively. This fact is proved by considering a priori estimates for the transmission coefficient.
KeywordsContinuous Spectrum Transmission Coefficient Continuous Part Summable Potential
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