We consider the linear Schrödinger equation and its discretization by split-step methods where the part corresponding to the Laplace operator is approximated by the midpoint rule. We show that the ...
We prove that Δ u + huα = 0 has no positive solutions for certain h, α by studying the linearized equation (Δ + huα - 1)ψ = eψ. Journal Information This monthly journal, begun in 1950, is devoted ...
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