Abstract
A new method is presented for the solution of the time dependent Schrödinger equation, expressed in polar or spherical coordinates. The radial part of the Laplacian operator is computed using a Fast Hankel Transform. An algorithm for the FHT is described, based on the Fast Fourier Transform. The accuracy of the Hankel method is checked for the two- and three-dimensional harmonic oscillator by comparing with the analytical solution. The Hankel method is applied to the system H + H2 with Delves hyperspherical coordinates and is compared to the Fourier method.
Original language | English |
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Pages (from-to) | 136-151 |
Number of pages | 16 |
Journal | Journal of Computational Physics |
Volume | 59 |
Issue number | 1 |
DOIs | |
State | Published - 30 May 1985 |