Abstract
The utility and accuracy of a new distributed approximating functional (DAF), combining the Gaussian weighted DAF concept with Lagrange interpolation, is explored for the discrete spectrum solution of the Schrödinger equation. Two instructive examples, an I 2 Morse oscillator and the 2-dimensional Henon–Heiles potential, are considered in the present study. The present “Lagrange DAF” (LDAF) approach achieves extremely high accuracy for I 2 while using fewer grid points than previous approaches. The present results for the Henon–Heiles system are in excellent agreement with those of earlier established methods, such as that of Shizgal.
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