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On the connection of the classical and quantum mechanical completeness of a potential at infinity on complete Riemannian manifolds

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Translated from Matematicheskie Zametki, Vol. 55, No. 4, pp. 65–73, April, 1994.

The author thanks M. A. Shubin for posing the problem, A. A. Shkalikov for useful discussions and remarks, and the referee for useful remarks.

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Oleinik, I.M. On the connection of the classical and quantum mechanical completeness of a potential at infinity on complete Riemannian manifolds. Math Notes 55, 380–386 (1994). https://doi.org/10.1007/BF02112477

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  • DOI: https://doi.org/10.1007/BF02112477

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