Sharp condition on the decay of the potential for the absence of a zero-energy ground state of the Schrodinger equation

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, , Citation R D Benguria and C Yarur 1990 J. Phys. A: Math. Gen. 23 1513 DOI 10.1088/0305-4470/23/9/015

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1 Dept. de Fisica, Chile Univ., Santiago, Chile

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0305-4470/23/9/1513

Abstract

The authors prove a sharp criterion on the decay of the potential of a Schrodinger operator on R3 that ensures the absence of a zero-energy ground state. This condition complements results due to Simon and Lieb (1981). They also give an improved version of their results which, however, is still not optimal.

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