New numerical method for the eigenvalue problem of the 2D Schrodinger equation
The method consists in a flexible transformation of the 2D problem into a set of 1D single and coupled channel problems. This set of problems is then solved numerically by some highly tuned codes. By choosing codes based on CP methods and formulating an ad-hoc shooting procedure for the localization of the eigenenergies we obtain a version which is very efficient for speed and memory requirements. Extension of the method to more dimensions is also possible. (c) 2010 Elsevier B.V. All rights reserved.
eigenvalue problem 2d schrodinger equation cp methods