Absorbing boundary conditions for the one-dimensional Schrodinger equation with an exterior repulsive potential

作者：Antoine Xavier^*; Besse Christophe; Klein Pauline

来源：Journal of Computational Physics, 2009, 228(2): 312-335.

DOI：10.1016/j.jcp.2008.09.013

• Schrodinger equation
• Artificial boundary condition
• Exterior potential
• Unconditionally stable discretization schemes
• Numerical simulations

Mathematical constructions and comparisons of accurate absorbing boundary conditions for the one-dimensional Schrodinger equation with a general variable repulsive potential are developed. Stable semi-discretization schemes are built for the associated initial boundary value problems. Finally, some numerical simulations give a comparison of the various absorbing boundary conditions and show that they yield accurate computations.

• 出版日期2009-2-1
• 单位INRIA