Abstract
An exponential decay result for the solutionsu of the equation\((\sqrt {1 - \Delta } + V)u = f\) is proved under the hypotheses thatV converges to zero at infinity andf decays exponentially. This ensures that the eigenfunctions of the two body relativistic spinless Hamiltonian\(\sqrt {1 - \Delta } + V\) decay exponentially: this result parallels the well-known one valid in the non-relativistic case.
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Partially supported by M.P.I., fondi 40%, titolare Prof. L. Cattabriga.
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Nardini, F. Exponential decay for the eigenfunctions of the two body relativistic hamiltonian. J. Anal. Math. 47, 87–109 (1986). https://doi.org/10.1007/BF02792534
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DOI: https://doi.org/10.1007/BF02792534