Abstract
We study basic properties of the Schrödinger operatorH with an interface condition on a sphere which allows gaps in values but requires continuity of normal derivatives.H can be regarded as a perturbation ofH N, the Schrödinger operator with the Neumann boundary condition on the sphere. The resolvent equation forH andH N is also discussed.
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Dedicated to Professor Shmuel Agmon
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Ikebe, T. The Schrödinger operator with a penetrable wall interaction. J. Anal. Math. 59, 37–43 (1992). https://doi.org/10.1007/BF02790215
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DOI: https://doi.org/10.1007/BF02790215