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

1990; Institute of Physics; Volume: 23; Issue: 9 Linguagem: Inglês

10.1088/0305-4470/23/9/015

1361-6447

Rafael D. Benguria, Cecilia Yarur,

Advanced Mathematical Modeling in Engineering

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.