Boundedness and continuity of the fundamental solution of the time dependent Schrodinger equation with singular potentials

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概要

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• We show that the fundamental solution of the initial value problem for the time dependent SchrÖdinger equation is bounded and continuous for a class of non-smooth potentials. The class is large enough to accomodate Coulomb potentials if the spatial dimension is three.

• 東北大学の論文

著者

• YAJIMA Kenji

  Department of Materials and Chemistry, Graduate School of Engineering, Tohoku University

• Yajima Kenji

  Department of Mathematical Sciences, University of Tokyo

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