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2019•arXiv (Cornell University)Open access

Zero modes and low-energy resolvent expansion for three dimensional Schrodinger operators with point interactions

Raffaele Scandone

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Abstract

We investigate the low-energy behavior of the resolvent of Schrodinger operators with finitely many point interactions in three dimensions. We also discuss the occurrence and the multiplicity of zero energy obstructions.

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What this paper is about

We investigate the low-energy behavior of the resolvent of Schrodinger operators with finitely many point interactions in three dimensions. We also discuss the occurrence and the multiplicity of zero energy obstructions.

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Available abstract

We investigate the low-energy behavior of the resolvent of Schrodinger operators with finitely many point interactions in three dimensions. We also discuss the occurrence and the multiplicity of zero energy obstructions.

Key concepts: Resolvent, Zero-point energy, Schrödinger's cat, Resolvent formalism, Zero (linguistics), Multiplicity (mathematics), Mathematics, Point (geometry)

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