Some Resolvent Estimates for Sturm Liouville Operators
Copyright policy ) Briet, P.; Mourre, E.;
Some Resolvent Estimates for Sturm Liouville Operators
Using a method similar to the second author's [\textit{E. Mourre}, Commun. Math. Phys. 78, No. 3, 391-408 (1981; Zbl 0489.47010)], the authors obtain some estimates on the resolvent of the 1-D Schrödinger operator. Under certain conditions these estimates are used to show that the Schrödinger operator has a purely absolutely continuous spectrum.
absolutely continuous spectrum, Applied Mathematics, Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), 1-D Schrödinger operator, Spectrum, resolvent, Analysis
absolutely continuous spectrum, Applied Mathematics, Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), 1-D Schrödinger operator, Spectrum, resolvent, Analysis
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