Fourth-order transparent boundary conditions (D4TBCs and aDTBCs) yield globally fourth-order accurate, uniquely solvable finite difference discretizations of the 1D Schrödinger-Poisson problem.
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High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem
Fourth-order transparent boundary conditions (D4TBCs and aDTBCs) yield globally fourth-order accurate, uniquely solvable finite difference discretizations of the 1D Schrödinger-Poisson problem.