We consider 1-D Laplace operator with short range potential $W(x)$ and study sectorial properties and resolvent estimates associated with this perturbed Laplacian. It is shown that non resonance assumption at zero and sufficiently fast decay of the potential at infinity guarantee that the Hamiltonian is a sectorial operator in L^p.
Sectorial Hamiltonians without zero resonance in one dimension
Gueorguiev, Vladimir Simeonov;
2016-01-01
Abstract
We consider 1-D Laplace operator with short range potential $W(x)$ and study sectorial properties and resolvent estimates associated with this perturbed Laplacian. It is shown that non resonance assumption at zero and sufficiently fast decay of the potential at infinity guarantee that the Hamiltonian is a sectorial operator in L^p.File in questo prodotto:
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offprint_Annarita_Sectorial_2016.pdf
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