Numerical Algorithms for Schrodinger Equation with Artificial Boundary Conditions

作者：Ciegis R^*; Laukaityte Inga; Radziunas Mindaugas

来源：Numerical Functional Analysis and Optimization, 2009, 30(9-10): 903-923.

DOI：10.1080/01630560903393097

• Absorbing boundary conditions
• Finite difference method
• Numerical experiments
• Schrodinger problem
• Transparent boundary conditions

We consider a one-dimensional linear Schrodinger problem defined on an infinite domain and approximated by the Crank-Nicolson type finite difference scheme. To solve this problem numerically we restrict the computational domain by introducing the reflective, absorbing or transparent artificial boundary conditions. We investigate the conservativity of the discrete scheme with respect to the mass and energy of the solution. Results of computational experiments are presented and the efficiency of different artificial boundary conditions is discussed.

• 出版日期2009